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q-Virasoro constraints in matrix models
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics. Dipartimento di Fisica, Università di Milano-Bicocca, Milano, Italia; INFN, sezione di Milano-Bicocca, Milano, Italia.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 3, 98Article in journal (Refereed) Published
Abstract [en]

The Virasoro constraints play the important role in the study of matrix models and in understanding of the relation between matrix models and CFTs. Recently the localization calculations in supersymmetric gauge theories produced new families of matrix models and we have very limited knowledge about these matrix models. We concentrate on elliptic generalization of hermitian matrix model which corresponds to calculation of partition function on S3×S1 for vector multiplet. We derive the q-Virasoro constraints for this matrix model. We also observe some interesting algebraic properties of the q-Virasoro algebra.

Place, publisher, year, edition, pages
2017. no 3, 98
Keyword [en]
Matrix Models, Conformal and W Symmetry, Conformal Field Theory
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-287843DOI: 10.1007/JHEP03(2017)098ISI: 000397705400002OAI: oai:DiVA.org:uu-287843DiVA: diva2:923526
Funder
Swedish Research Council, 2014-5517The Swedish Foundation for International Cooperation in Research and Higher Education (STINT)Knut and Alice Wallenberg Foundation
Available from: 2016-04-26 Created: 2016-04-26 Last updated: 2017-06-07Bibliographically approved

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Publisher's full textarXiv:1511.03471 [hep-th]

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CiteExportLink to record
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  • apa
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