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{{Short description|Argentine physicist}}
{{Short description|Argentine physicist (1940–2021)}}
{{about|the Argentine physicist|the Argentine philosopher|Miguel Ángel Virasoro (philosopher)}}
{{about|the Argentine physicist|his father the philosopher|Miguel Ángel Virasoro (philosopher)}}
{{Infobox scientist
{{expand Spanish|date=July 2013}}
| name = Miguel Ángel Virasoro
'''Miguel Ángel Virasoro''' ({{IPA-es|miˈɣel ˈaŋxel viɾaˈsoɾo|lang}}; Buenos Aires, 9 May 1940 – Buenos Aires, 23 July 2021)<ref name="death">{{Cite web|url=https://exactas.uba.ar/fallecio-el-fisico-miguel-angel-virasoro/|title=Falleció el físico Miguel Ángel Virasoro|access-date=2021-07-24|date=2021-07-23|website=Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires|language=es}}</ref><ref name=":3" /> was an [[Argentines|Argentine]] [[Theoretical physics|theoretical physicist]] who worked in [[Argentina]], [[Israel]], the [[United States]], [[France]], and [[Italy]]. He shared a name with his father, the Argentine [[Miguel Ángel Virasoro (philosopher)|philosopher Miguel Ángel Virasoro]].<ref name=":1" /> Virasoro spent most of his professional career in Italy at [[Sapienza University of Rome|La Sapienza University of Rome]]. He was known for his foundational work in [[string theory]], the study of [[spin glass]]es, and his research in other areas of [[Mathematical physics|mathematical]] and [[statistical physics]].<ref name="death" /> The Virasoro-Shapiro amplitude,<ref name=":4">Virasoro, M. (1969). "Alternative constructions of crossing-symmetric amplitudes with Regge behavior." ''Physical Review'', '''177'''(5), 2309–2311.</ref> the [[Virasoro algebra]],<ref name=":5">{{cite journal|author=M. A. Virasoro |year=1970 |title=Subsidiary conditions and ghosts in dual-resonance models |journal=Physical Review D |volume=1 |issue=10 |pages=2933–2936|doi=10.1103/PhysRevD.1.2933|bibcode = 1970PhRvD...1.2933V }}</ref> the [[Super Virasoro algebra|super Virasoro algera]], the [[Vertex operator algebra|Virasoro vertex operator algebra]], the [[Virasoro group]], the [[Virasoro conjecture]], the [[Virasoro conformal block]], and the [[Virasoro minimal model]] are all named after him.
| image =
| image_size =
| birth_date = {{birth date|1940|5|9}}
| birth_place = [[Buenos Aires]], Argentina
| death_date = {{death date and age|2021|7|23|1940|5|9}}
| death_place = [[Buenos Aires]], Argentina
| residence =
| nationality = Argentinian
| field =
| work_institutions = [[École normale supérieure]]<br>[[Istituto Nazionale di Fisica Nucleare]]<br>[[Institute for Advanced Study]]<br>[[University of California, Berkeley]]<br>[[Sapienza University of Rome|La Sapienza University of Rome]]<br>[[University of Wisconsin–Madison]]<br>[[Weizmann Institute of Science]]<br>[[Ioffe Institute]]<br>[[University of Bonn]]
| alma_mater =
| doctoral_advisor =
| doctoral_students =
| notable_students =
| known_for = [[Cavity method]]<br>[[Virasoro algebra]]<br>[[Virasoro conformal block]]<br>Virasoro–Shapiro amplitude<br>[[Virasoro group]]<br>[[Virasoro conjecture]]
| prizes = [[Enrico Fermi Prize]] (2009)<br>[[Dirac Medal (ICTP)|Dirac Medal]] (2020)
| website =
| footnotes =
}}
'''Miguel Ángel Virasoro''' ({{IPA|es|miˈɣel ˈaŋxel βiɾaˈsoɾo|lang}};9 May 1940 – 23 July 2021)<ref name="death">{{cite web|url=https://exactas.uba.ar/fallecio-el-fisico-miguel-angel-virasoro/|title=Falleció el físico Miguel Ángel Virasoro|access-date=2021-07-24|date=2021-07-23|website=Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires|language=es}}</ref><ref name=":3" /> was an [[Argentines|Argentine]] ([[Naturalization|naturalized]] [[Italy|Italian]]<ref name=":1" />) [[mathematician]] and [[Theoretical physics|theoretical physicist]]. Virasoro worked in [[Argentina]], [[Israel]], the [[United States]], and [[France]], but he spent most of his professional career in [[Italy]] at [[Sapienza University of Rome|La Sapienza University of Rome]]. He shared a name with his father, the [[Miguel Ángel Virasoro (philosopher)|philosopher Miguel Ángel Virasoro]].<ref name=":1" /> He was known for his foundational work in [[string theory]], the study of [[spin glass]]es, and his research in other areas of [[Mathematical physics|mathematical]] and [[statistical physics]].<ref name="death" /> The Virasoro–Shapiro amplitude,<ref name=":4">Virasoro, M. (1969). "Alternative constructions of crossing-symmetric amplitudes with Regge behavior." ''Physical Review'', '''177'''(5), 2309–2311.</ref> the [[Virasoro algebra]],<ref name=":5">{{cite journal|author=M. A. Virasoro |year=1970 |title=Subsidiary conditions and ghosts in dual-resonance models |journal=Physical Review D |volume=1 |issue=10 |pages=2933–2936|doi=10.1103/PhysRevD.1.2933|bibcode = 1970PhRvD...1.2933V }}</ref> the [[super Virasoro algebra]], the [[Vertex operator algebra|Virasoro vertex operator algebra]], the [[Virasoro group]], the [[Virasoro conjecture]], the [[Virasoro conformal block]], and the [[Virasoro minimal model]] are all named after him.


==Biography==
==Biography==


=== Early life in Argentina ===
=== Early life in Argentina ===
Miguel Ángel Virasoro was born in [[Buenos Aires|Buenos Aires, Argentina]] in on May 9, 1940.<ref name=":3">{{Cite web|last=AEXCNdeBA|title=Conocé a Miguel Ángel Virasoro {{!}} Asociación de Ex Alumnos del Colegio Nacional de Buenos Aires|url=http://www.exalumnoscnba.com.ar/?p=8048|access-date=2021-08-30|language=es-ES}}</ref> He shared a name with [[Miguel Ángel Virasoro (philosopher)|his father]], a noted Argentinian philosopher who founded dialectical [[existentialism]].<ref name=":1">{{Cite web|last=Parisi|first=Giorgio|date=2021|title=Miguel Angel Virasoro (1940-2021)|url=https://www.sif.it/riviste/sif/sag/ricordo/virasoro|url-status=live|access-date=August 29, 2021|website=Italian Physical Society}}</ref> The younger Virasoro studied physics at the [[University of Buenos Aires]] (UBA) from 1958 to 1966. He received his bachelor's degree in 1962 and his PhD in 1966.<ref>{{Cite web|title=INSPIRE|url=https://inspirehep.net/authors/984612|access-date=2021-08-30|website=inspirehep.net}}</ref>
Miguel Ángel Virasoro was born in [[Buenos Aires|Buenos Aires, Argentina]] in on May 9, 1940.<ref name=":3">{{cite web|last=AEXCNdeBA|title=Conocé a Miguel Ángel Virasoro {{!}} Asociación de Ex Alumnos del Colegio Nacional de Buenos Aires|url=http://www.exalumnoscnba.com.ar/?p=8048|access-date=2021-08-30|language=es-ES}}</ref> He shared a name with [[Miguel Ángel Virasoro (philosopher)|his father]], a noted Argentinian philosopher who founded dialectical [[existentialism]].<ref name=":1">{{cite web|last=Parisi|first=Giorgio|date=2021|title=Miguel Angel Virasoro (1940-2021)|url=https://www.sif.it/riviste/sif/sag/ricordo/virasoro|access-date=August 29, 2021|website=Italian Physical Society}}</ref> The younger Virasoro studied physics at the [[University of Buenos Aires]] (UBA) from 1958 to 1966. He received his [[Licentiate (degree)|Licenciate degree]] in 1962 and his PhD in 1966.<ref>{{cite web|title=INSPIRE|url=https://inspirehep.net/authors/984612|access-date=2021-08-30|website=inspirehep.net}}</ref>


=== Research in Israel and the United States ===
=== Research in Israel and the United States ===
In 1966, Virasoro left Argentina after [[La Noche de los Bastones Largos]], a violent dislodging of students and teachers from UBA who opposed the military government of Argentinian [[Juan Carlos Onganía|General Juan Carlos Onganía]].<ref name="death" /> The military dictatorship of Onganía would last from 1966 to 1970. After leaving Argentina, Virasoro worked as a [[postdoctoral researcher]] at the [[Weizmann Institute of Science]] in [[Rehovot]], [[Israel]] until 1968. He then worked at the [[University of Wisconsin–Madison|University of Wisconsin-Madison]] (UW-M) in the [[United States]] until 1969.<ref name=":0">{{Cite web|title=Physics Tree - Miguel Ángel Virasoro|url=https://academictree.org/physics/peopleinfo.php?pid=48927&expand=bio|access-date=2021-08-30|website=academictree.org}}</ref> After his time at UW-M, Virsasoro spent another year as a postdoc in the United States at the [[University of California, Berkeley]].
In 1966, Virasoro left Argentina after [[La Noche de los Bastones Largos]], a violent dislodging of students and teachers from UBA who opposed the military government of Argentinian [[Juan Carlos Onganía|General Juan Carlos Onganía]].<ref name="death" /> The military dictatorship of Onganía would last from 1966 to 1970. After leaving Argentina, Virasoro worked as a [[postdoctoral researcher]] at the [[Weizmann Institute of Science]] in [[Rehovot]], [[Israel]] until 1968. He then worked at the [[University of Wisconsin–Madison|University of Wisconsin-Madison]] (UW-M) in the [[United States]] until 1969.<ref name=":0">{{cite web|title=Physics Tree - Miguel Ángel Virasoro|url=https://academictree.org/physics/peopleinfo.php?pid=48927&expand=bio|access-date=2021-08-30|website=academictree.org}}</ref> After his time at UW-M, Virasoro spent another year as a postdoc in the United States at the [[University of California, Berkeley]].


=== Return to Argentina ===
=== Return to Argentina ===
Virasoro returned to Argentina after the end of Juan Carlos Onganía's dictatorship in 1970. In 1971, he accepted a [[professor]]ship at his [[alma mater]] UBA.<ref name=":0" /> Virasoro remained at UBA until 1975, at which time he accepted a year-long position at the [[Institute for Advanced Study]] in [[Princeton, New Jersey]].<ref>{{Cite web|date=2019-12-09|title=Miguel Virasoro - Scholars {{!}} Institute for Advanced Study|url=https://www.ias.edu/scholars/miguel-virasoro|access-date=2021-08-30|website=www.ias.edu|language=en}}</ref> Then in 1976, [[Jorge Rafael Videla|General Jorge Rafael Videla]] came to power in Argentina and established another military dictatorship. As a result, Virasoro was unable to return to his home country after his year in the United States and instead moved to Europe.<ref name=":1" />
Virasoro returned to Argentina after the end of Juan Carlos Onganía's dictatorship in 1970. In 1971, he accepted a [[professor]]ship at his [[alma mater]] UBA.<ref name=":0" /> Virasoro remained at UBA until 1975, at which time he accepted a year-long position at the [[Institute for Advanced Study]] in [[Princeton, New Jersey]].<ref>{{cite web|date=2019-12-09|title=Miguel Virasoro - Scholars {{!}} Institute for Advanced Study|url=https://www.ias.edu/scholars/miguel-virasoro|access-date=2021-08-30|website=www.ias.edu|language=en}}</ref> Then in 1976, [[Jorge Rafael Videla|General Jorge Rafael Videla]] came to power in Argentina and established another military dictatorship. As a result, Virasoro was unable to return to his home country after his year in the United States and instead moved to Europe.<ref name=":1" />


=== Professional career in Europe ===
=== Professional career in Europe ===
In Europe, Virasoro took a temporary position at the [[École normale supérieure]] in [[Paris|Paris, France]] in 1976. Virasoro then moved to [[Italy]] in 1977 where he worked as a professor at the [[Istituto Nazionale di Fisica Nucleare]] at the [[University of Turin]] from 1977 until 1981. He then moved to [[Sapienza University of Rome|La Sapienza University of Rome]], where he remained for thirty years until his Italian retirement and his return to Argentina in 2011.<ref name=":1" /><ref>{{Cite web|date=2021-07-24|title=Dead Miguel Virasoro, he studied string theory – Chronicle|url=https://www.italy24news.com/local/130967.html|access-date=2021-08-30|website=Italy24 News English|language=en-us}}</ref> At La Sapienza, Virasoro performed research in [[mathematical physics]], [[string theory]], and [[statistical mechanics]] and taught courses on [[electromagnetism]] and on physical-mathematical models for economics.<ref name=":2">{{Cite web|title=ICTP - In Memoriam|url=https://www.ictp.it/about-ictp/media-centre/news/2021/7/in-memoriam_virasoro.aspx|access-date=2021-08-30|website=www.ictp.it}}</ref> He was also a director of the [[International Centre for Theoretical Physics|Abdus Salam International Centre for Theoretical Physics]] (ICTP) in [[Trieste|Trieste, Italy]] from 1995 until 2002.<ref name=":2" />
In Europe, Virasoro took a temporary position at the [[École normale supérieure]] in [[Paris|Paris, France]] in 1976. Virasoro then moved to [[Italy]] in 1977 where he worked as a professor at the [[Istituto Nazionale di Fisica Nucleare]] at the [[University of Turin]] from 1977 until 1981. He then moved to [[Sapienza University of Rome|La Sapienza University of Rome]], where he remained for thirty years until his Italian retirement and his return to Argentina in 2011.<ref name=":1" /><ref>{{cite web|date=2021-07-24|title=Dead Miguel Virasoro, he studied string theory – Chronicle|url=https://www.italy24news.com/local/130967.html|access-date=2021-08-30|website=Italy24 News English|language=en-us}}</ref> At La Sapienza, Virasoro performed research in [[mathematical physics]], [[string theory]], and [[statistical mechanics]] and taught courses on [[electromagnetism]] and on physical-mathematical models for economics.<ref name=":2">{{cite web|title=ICTP - In Memoriam|url=https://www.ictp.it/about-ictp/media-centre/news/2021/7/in-memoriam_virasoro.aspx|access-date=2021-08-30|website=www.ictp.it}}</ref> He was also a director of the [[International Centre for Theoretical Physics|Abdus Salam International Centre for Theoretical Physics]] (ICTP) in [[Trieste|Trieste, Italy]] from 1995 until 2002.<ref name=":2" />


=== Later years and death ===
=== Later years and death ===
In his later years, Virasoro received several awards, honors, and appointments. In 1987, he was awarded a [[Guggenheim Fellowship|Guggenheim fellowship]] from the [[John Simon Guggenheim Memorial Foundation]].<ref>{{Cite web|title=John Simon Guggenheim Foundation {{!}} Miguel A. Virasoro|url=https://www.gf.org/fellows/all-fellows/miguel-a-virasoro/|access-date=2021-08-30|language=en-US}}</ref> In 1993, he was awards the [[Rammal Rammal|Rammal Award]] by the [[Société Française de Physique|French Physical Society]].<ref>{{Cite web|last=EuroScience|date=2000-05-22|title=Rammal Award 1993-1997 granted by the French Physical Society|url=https://www.euroscience.org/news/rammal-award-1993-1997-granted-by-the-french-physical-society/|access-date=2021-09-13|website=EuroScience|language=en-GB}}</ref> In 1998, he was elected as an international honorary member of the [[American Academy of Arts and Sciences]].<ref>{{Cite web|title=Miguel Virasoro|url=https://www.amacad.org/person/miguel-virasoro|access-date=2021-08-30|website=American Academy of Arts & Sciences|language=en}}</ref> In 2009, he was awarded the [[Enrico Fermi Prize]] of the [[Italian Physical Society]], which he shared with Greek physicist [[Dimitri Nanopoulos]], for "the discovery of an infinite-dimensional algebra of primary importance for the construction of string theories."<ref>{{Cite web|date=2021|title="Enrico Fermi" Prize|url=https://en.sif.it/activities/fermi_award|url-status=live|access-date=August 29, 2021|website=Italian Physical Society}}</ref> In 2020, he was awarded the [[Dirac Medal]] of the ICTP, which he shared with French physicists [[André Neveu]] and [[Pierre Ramond]], "for their pioneering contributions to the inception and formulation of string theory which introduced new [[boson]]ic and [[fermion]]ic symmetries into physics."<ref>[https://www.ictp.it/about-ictp/media-centre/news/2020/8/ictp-dirac-medal-2020-announced.aspx Dirac Medal 2020 of ICTP]</ref>
In his later years, Virasoro received several awards, honors, and appointments. In 1987, he was awarded a [[Guggenheim Fellowship|Guggenheim fellowship]] from the [[John Simon Guggenheim Memorial Foundation]].<ref>{{cite web|title=John Simon Guggenheim Foundation {{!}} Miguel A. Virasoro|url=https://www.gf.org/fellows/all-fellows/miguel-a-virasoro/|access-date=2021-08-30|language=en-US}}</ref> In 1993, he was awarded the [[Rammal Rammal|Rammal Award]] by the [[Société Française de Physique|French Physical Society]].<ref>{{cite web|last=EuroScience|date=2000-05-22|title=Rammal Award 1993-1997 granted by the French Physical Society|url=https://www.euroscience.org/news/rammal-award-1993-1997-granted-by-the-french-physical-society/|access-date=2021-09-13|website=EuroScience|language=en-GB}}</ref> In 1998, he was elected as an international honorary member of the [[American Academy of Arts and Sciences]].<ref>{{cite web|title=Miguel Virasoro|url=https://www.amacad.org/person/miguel-virasoro|access-date=2021-08-30|website=American Academy of Arts & Sciences|language=en}}</ref> In 2009, he was awarded the [[Enrico Fermi Prize]] of the [[Italian Physical Society]], which he shared with Greek physicist [[Dimitri Nanopoulos]], for "the discovery of an infinite-dimensional algebra of primary importance for the construction of string theories."<ref>{{cite web|date=2021|title="Enrico Fermi" Prize|url=https://en.sif.it/activities/fermi_award|access-date=August 29, 2021|website=Italian Physical Society}}</ref> In 2020, he was awarded the [[Dirac Medal (ICTP)|Dirac Medal]] of the ICTP, which he shared with French physicists [[André Neveu]] and [[Pierre Ramond]], "for their pioneering contributions to the inception and formulation of string theory which introduced new [[boson]]ic and [[fermion]]ic symmetries into physics."<ref>[https://www.ictp.it/about-ictp/media-centre/news/2020/8/ictp-dirac-medal-2020-announced.aspx Dirac Medal 2020 of ICTP]</ref>


From 2011 until his death, Virasoro was an honorary professor at the [[National University of General Sarmiento|Universidad Nacional de General Sarmiento]] in his home country of Argentina.<ref name=":3" /><ref name=":2" /> Virasoro died on July 23, 2021 at the age of 81.<ref name="death" />
From 2011 until his death, Virasoro was an honorary professor at the [[National University of General Sarmiento|Universidad Nacional de General Sarmiento]] in his home country of Argentina.<ref name=":3" /><ref name=":2" /> Virasoro died on July 23, 2021, at the age of 81.<ref name="death" />


==Research==
==Research==


=== String theory ===
=== String theory ===
Much of Virasoro's early work helped found a branch of [[Particle physics|theoretical particle physics]] which would later be understood as [[string theory]]. In 1968 while Virasoro was in Israel, his colleague [[Gabriele Veneziano]] discovered a formula (the [[Veneziano amplitude]]) which described the [[scattering]] of open strings.<ref>{{Cite journal|last=Veneziano|first=G.|date=1968-09-01|title=Construction of a crossing-simmetric, Regge-behaved amplitude for linearly rising trajectories|url=https://doi.org/10.1007/BF02824451|journal=Il Nuovo Cimento A (1965-1970)|language=en|volume=57|issue=1|pages=190–197|doi=10.1007/BF02824451|bibcode=1968NCimA..57..190V|s2cid=121211496|issn=1826-9869}}</ref> Then in 1969 during his time at [[University of Wisconsin–Madison|University of Wisconsin-Madison]], Virasoro successfully generalized Veneziano's theory and discovered a formula (the Virasoro-Shapiro amplitude) which described the scattering of closed strings.<ref>{{Cite journal|last=Virasoro|first=M. A.|date=1969-01-25|title=Alternative Constructions of Crossing-Symmetric Amplitudes with Regge Behavior|url=https://link.aps.org/doi/10.1103/PhysRev.177.2309|journal=Physical Review|volume=177|issue=5|pages=2309–2311|doi=10.1103/PhysRev.177.2309|bibcode=1969PhRv..177.2309V}}</ref> At the time, the formulas of Veneziano and Virasoro were understood in terms of so-called [[dual resonance model]]s. Only later was their work understood to describe strings.<ref>{{Cite book|last=Green|first=M.|url=https://www.worldcat.org/oclc/823741954|title=Superstring theory. Volume 1, Introduction. 25th anniversary edition|date=2012|others=John H. Schwarz, E. Witten|isbn=978-1-139-53120-7|edition=|location=Cambridge|oclc=823741954}}</ref><ref>{{Citation|title=The Case for String Theory - Sixty Symbols|url=https://www.youtube.com/watch?v=Q8ccXzM3x8A|language=en|access-date=2021-08-30}}</ref>
Much of Virasoro's early work helped found a branch of [[Particle physics|theoretical particle physics]] which would later be understood as [[string theory]]. In 1968 while Virasoro was in Israel, his colleague [[Gabriele Veneziano]] discovered a formula (the [[Veneziano amplitude]]) which described the [[scattering]] of open strings.<ref>{{Cite journal|last=Veneziano|first=G.|date=1968-09-01|title=Construction of a crossing-simmetric, Regge-behaved amplitude for linearly rising trajectories|url=https://doi.org/10.1007/BF02824451|journal=Il Nuovo Cimento A |language=en|volume=57|issue=1|pages=190–197|doi=10.1007/BF02824451|bibcode=1968NCimA..57..190V|s2cid=121211496|issn=1826-9869}}</ref> Then in 1969 during his time at [[University of Wisconsin–Madison|University of Wisconsin-Madison]], Virasoro successfully generalized Veneziano's theory and discovered a formula (the Virasoro-Shapiro amplitude) which described the scattering of closed strings.<ref>{{Cite journal|last=Virasoro|first=M. A.|date=1969-01-25|title=Alternative Constructions of Crossing-Symmetric Amplitudes with Regge Behavior|url=https://link.aps.org/doi/10.1103/PhysRev.177.2309|journal=Physical Review|volume=177|issue=5|pages=2309–2311|doi=10.1103/PhysRev.177.2309|bibcode=1969PhRv..177.2309V}}</ref> At the time, the formulas of Veneziano and Virasoro were understood in terms of so-called [[dual resonance model]]s. Only later was their work understood to describe strings.<ref>{{Cite book|last=Green|first=M.|url=https://www.worldcat.org/oclc/823741954|title=Superstring theory. Volume 1, Introduction. 25th anniversary edition|date=2012|others=John H. Schwarz, E. Witten|isbn=978-1-139-53120-7|edition=|location=Cambridge|oclc=823741954}}</ref><ref>{{Citation|title=The Case for String Theory - Sixty Symbols| date=30 January 2017 |url=https://www.youtube.com/watch?v=Q8ccXzM3x8A |archive-url=https://ghostarchive.org/varchive/youtube/20211214/Q8ccXzM3x8A |archive-date=2021-12-14 |url-status=live|language=en|access-date=2021-08-30}}{{cbignore}}</ref>


Soon after his discovery of the Virasoro-Shapiro amplitude, Virasoro introduced what became known as the [[Virasoro algebra]]. The Virasoro algebra is an infinite-dimensional [[Lie algebra]] which describes the [[conformal symmetry]] of the [[worldsheet]] of a string embedded in [[spacetime]]. A [[Supersymmetry|supersymmetric]] generalization of this algebra, the [[super Virasoro algebra]], describes the [[Super conformal field theory|super conformal symmetry]] of the [[worldsheet]] of a [[Superstring theory|supersymmetric string]] (or superstring). Pedagogical introductions to the Virasoro-Shapiro amplitude and the Virasoro algebra may be found in [[David Tong (physicist)|David Tong's]] introductory lectures on string theory.<ref>{{cite arxiv|eprint=0908.0333|class=hep-th|first=David|last=Tong|title=Lectures on String Theory|date=2012-02-23}}</ref>
Soon after his discovery of the Virasoro-Shapiro amplitude, Virasoro introduced what became known as the [[Virasoro algebra]]. The Virasoro algebra is an infinite-dimensional [[Lie algebra]] which describes the [[conformal symmetry]] of the [[worldsheet]] of a string embedded in [[spacetime]]. A [[Supersymmetry|supersymmetric]] generalization of this algebra, the [[super Virasoro algebra]], describes the [[Super conformal field theory|super conformal symmetry]] of the [[worldsheet]] of a [[Superstring theory|supersymmetric string]] (or superstring). Pedagogical introductions to the Virasoro-Shapiro amplitude and the Virasoro algebra may be found in [[David Tong (physicist)|David Tong's]] introductory lectures on string theory.<ref>{{cite arXiv|eprint=0908.0333|class=hep-th|first=David|last=Tong|title=Lectures on String Theory|date=2012-02-23}}</ref>


Several mathematical concepts related to Lie algebras and [[conformal field theory]] are named after Virasoro. These include the [[Vertex operator algebra|Virasoro vertex operator algebra]], the [[Virasoro group]], the [[Virasoro conjecture]], the [[Virasoro conformal block]], and the [[Virasoro minimal model]].
Several mathematical concepts related to Lie algebras and [[conformal field theory]] are named after Virasoro. These include the [[Vertex operator algebra|Virasoro vertex operator algebra]], the [[Virasoro group]], the [[Virasoro conjecture]], the [[Virasoro conformal block]], and the [[Virasoro minimal model]].
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[[Category:Enrico Fermi Award recipients]]
[[Category:Enrico Fermi Award recipients]]
[[Category:Italian physicists]]

Latest revision as of 09:51, 24 August 2024

Miguel Ángel Virasoro
Born(1940-05-09)May 9, 1940
Buenos Aires, Argentina
DiedJuly 23, 2021(2021-07-23) (aged 81)
Buenos Aires, Argentina
NationalityArgentinian
Known forCavity method
Virasoro algebra
Virasoro conformal block
Virasoro–Shapiro amplitude
Virasoro group
Virasoro conjecture
AwardsEnrico Fermi Prize (2009)
Dirac Medal (2020)
Scientific career
InstitutionsÉcole normale supérieure
Istituto Nazionale di Fisica Nucleare
Institute for Advanced Study
University of California, Berkeley
La Sapienza University of Rome
University of Wisconsin–Madison
Weizmann Institute of Science
Ioffe Institute
University of Bonn

Miguel Ángel Virasoro (Spanish: [miˈɣel ˈaŋxel βiɾaˈsoɾo];9 May 1940 – 23 July 2021)[1][2] was an Argentine (naturalized Italian[3]) mathematician and theoretical physicist. Virasoro worked in Argentinien, Israel, the Vereinigte Staaten, and Frankreich, but he spent most of his professional career in Italien at La Sapienza University of Rome. He shared a name with his father, the philosopher Miguel Ángel Virasoro.[3] He was known for his foundational work in string theory, the study of spin glasses, and his research in other areas of mathematical and statistical physics.[1] The Virasoro–Shapiro amplitude,[4] the Virasoro algebra,[5] the super Virasoro algebra, the Virasoro vertex operator algebra, the Virasoro group, the Virasoro conjecture, the Virasoro conformal block, and the Virasoro minimal model are all named after him.

Biography

[edit]

Early life in Argentina

[edit]

Miguel Ángel Virasoro was born in Buenos Aires, Argentina in on May 9, 1940.[2] He shared a name with his father, a noted Argentinian philosopher who founded dialectical existentialism.[3] The younger Virasoro studied physics at the University of Buenos Aires (UBA) from 1958 to 1966. He received his Licenciate degree in 1962 and his PhD in 1966.[6]

Research in Israel and the United States

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In 1966, Virasoro left Argentina after La Noche de los Bastones Largos, a violent dislodging of students and teachers from UBA who opposed the military government of Argentinian General Juan Carlos Onganía.[1] The military dictatorship of Onganía would last from 1966 to 1970. After leaving Argentina, Virasoro worked as a postdoctoral researcher at the Weizmann Institute of Science in Rehovot, Israel until 1968. He then worked at the University of Wisconsin-Madison (UW-M) in the United States until 1969.[7] After his time at UW-M, Virasoro spent another year as a postdoc in the United States at the University of California, Berkeley.

Return to Argentina

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Virasoro returned to Argentina after the end of Juan Carlos Onganía's dictatorship in 1970. In 1971, he accepted a professorship at his alma mater UBA.[7] Virasoro remained at UBA until 1975, at which time he accepted a year-long position at the Institute for Advanced Study in Princeton, New Jersey.[8] Then in 1976, General Jorge Rafael Videla came to power in Argentina and established another military dictatorship. As a result, Virasoro was unable to return to his home country after his year in the United States and instead moved to Europe.[3]

Professional career in Europe

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In Europe, Virasoro took a temporary position at the École normale supérieure in Paris, France in 1976. Virasoro then moved to Italy in 1977 where he worked as a professor at the Istituto Nazionale di Fisica Nucleare at the University of Turin from 1977 until 1981. He then moved to La Sapienza University of Rome, where he remained for thirty years until his Italian retirement and his return to Argentina in 2011.[3][9] At La Sapienza, Virasoro performed research in mathematical physics, string theory, and statistical mechanics and taught courses on electromagnetism and on physical-mathematical models for economics.[10] He was also a director of the Abdus Salam International Centre for Theoretical Physics (ICTP) in Trieste, Italy from 1995 until 2002.[10]

Later years and death

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In his later years, Virasoro received several awards, honors, and appointments. In 1987, he was awarded a Guggenheim fellowship from the John Simon Guggenheim Memorial Foundation.[11] In 1993, he was awarded the Rammal Award by the French Physical Society.[12] In 1998, he was elected as an international honorary member of the American Academy of Arts and Sciences.[13] In 2009, he was awarded the Enrico Fermi Prize of the Italian Physical Society, which he shared with Greek physicist Dimitri Nanopoulos, for "the discovery of an infinite-dimensional algebra of primary importance for the construction of string theories."[14] In 2020, he was awarded the Dirac Medal of the ICTP, which he shared with French physicists André Neveu and Pierre Ramond, "for their pioneering contributions to the inception and formulation of string theory which introduced new bosonic and fermionic symmetries into physics."[15]

From 2011 until his death, Virasoro was an honorary professor at the Universidad Nacional de General Sarmiento in his home country of Argentina.[2][10] Virasoro died on July 23, 2021, at the age of 81.[1]

Forschung

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String theory

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Much of Virasoro's early work helped found a branch of theoretical particle physics which would later be understood as string theory. In 1968 while Virasoro was in Israel, his colleague Gabriele Veneziano discovered a formula (the Veneziano amplitude) which described the scattering of open strings.[16] Then in 1969 during his time at University of Wisconsin-Madison, Virasoro successfully generalized Veneziano's theory and discovered a formula (the Virasoro-Shapiro amplitude) which described the scattering of closed strings.[17] At the time, the formulas of Veneziano and Virasoro were understood in terms of so-called dual resonance models. Only later was their work understood to describe strings.[18][19]

Soon after his discovery of the Virasoro-Shapiro amplitude, Virasoro introduced what became known as the Virasoro algebra. The Virasoro algebra is an infinite-dimensional Lie algebra which describes the conformal symmetry of the worldsheet of a string embedded in spacetime. A supersymmetric generalization of this algebra, the super Virasoro algebra, describes the super conformal symmetry of the worldsheet of a supersymmetric string (or superstring). Pedagogical introductions to the Virasoro-Shapiro amplitude and the Virasoro algebra may be found in David Tong's introductory lectures on string theory.[20]

Several mathematical concepts related to Lie algebras and conformal field theory are named after Virasoro. These include the Virasoro vertex operator algebra, the Virasoro group, the Virasoro conjecture, the Virasoro conformal block, and the Virasoro minimal model.

Spin glasses

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While working in Italy, Virasoro studied spin glasses and other systems in statistical mechanics. Together with Italian physicist Giorgio Parisi and French physicist Marc Mézard, Virasoro discovered the ultrametric organization of low-temperature spin glass states in infinite dimensions.[21]

References

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  1. ^ a b c d "Falleció el físico Miguel Ángel Virasoro". Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires (in Spanish). 2021-07-23. Retrieved 2021-07-24.
  2. ^ a b c AEXCNdeBA. "Conocé a Miguel Ángel Virasoro | Asociación de Ex Alumnos del Colegio Nacional de Buenos Aires" (in European Spanish). Retrieved 2021-08-30.
  3. ^ a b c d e Parisi, Giorgio (2021). "Miguel Angel Virasoro (1940-2021)". Italian Physical Society. Retrieved August 29, 2021.
  4. ^ Virasoro, M. (1969). "Alternative constructions of crossing-symmetric amplitudes with Regge behavior." Physical Review, 177(5), 2309–2311.
  5. ^ M. A. Virasoro (1970). "Subsidiary conditions and ghosts in dual-resonance models". Physical Review D. 1 (10): 2933–2936. Bibcode:1970PhRvD...1.2933V. doi:10.1103/PhysRevD.1.2933.
  6. ^ "INSPIRE". inspirehep.net. Retrieved 2021-08-30.
  7. ^ a b "Physics Tree - Miguel Ángel Virasoro". academictree.org. Retrieved 2021-08-30.
  8. ^ "Miguel Virasoro - Scholars | Institute for Advanced Study". www.ias.edu. 2019-12-09. Retrieved 2021-08-30.
  9. ^ "Dead Miguel Virasoro, he studied string theory – Chronicle". Italy24 News English. 2021-07-24. Retrieved 2021-08-30.
  10. ^ a b c "ICTP - In Memoriam". www.ictp.it. Retrieved 2021-08-30.
  11. ^ "John Simon Guggenheim Foundation | Miguel A. Virasoro". Retrieved 2021-08-30.
  12. ^ EuroScience (2000-05-22). "Rammal Award 1993-1997 granted by the French Physical Society". EuroScience. Retrieved 2021-09-13.
  13. ^ "Miguel Virasoro". American Academy of Arts & Sciences. Retrieved 2021-08-30.
  14. ^ ""Enrico Fermi" Prize". Italian Physical Society. 2021. Retrieved August 29, 2021.
  15. ^ Dirac Medal 2020 of ICTP
  16. ^ Veneziano, G. (1968-09-01). "Construction of a crossing-simmetric, Regge-behaved amplitude for linearly rising trajectories". Il Nuovo Cimento A. 57 (1): 190–197. Bibcode:1968NCimA..57..190V. doi:10.1007/BF02824451. ISSN 1826-9869. S2CID 121211496.
  17. ^ Virasoro, M. A. (1969-01-25). "Alternative Constructions of Crossing-Symmetric Amplitudes with Regge Behavior". Physical Review. 177 (5): 2309–2311. Bibcode:1969PhRv..177.2309V. doi:10.1103/PhysRev.177.2309.
  18. ^ Green, M. (2012). Superstring theory. Volume 1, Introduction. 25th anniversary edition. John H. Schwarz, E. Witten. Cambridge. ISBN 978-1-139-53120-7. OCLC 823741954.{{cite book}}: CS1 maint: location missing publisher (link)
  19. ^ The Case for String Theory - Sixty Symbols, 30 January 2017, archived from the original on 2021-12-14, retrieved 2021-08-30
  20. ^ Tong, David (2012-02-23). "Lectures on String Theory". arXiv:0908.0333 [hep-th].
  21. ^ Rammal, R.; Toulouse, G.; Virasoro, M. A. (1986-07-01). "Ultrametricity for physicists". Reviews of Modern Physics. 58 (3): 765–788. Bibcode:1986RvMP...58..765R. doi:10.1103/RevModPhys.58.765.