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q-Virasoro Modular Triple
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.ORCID iD: 0000-0001-8934-8836
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.ORCID iD: 0000-0002-5845-2283
2019 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 366, no 1, p. 397-422Article in journal (Refereed) Published
Abstract [en]

Inspired by 5d supersymmetric Yang-Mills theories placed on the compact space S5, we propose an intriguing algebraic construction for the q-Virasoro algebra. We show that, when multiple q-Virasoro chiral sectors have to be fused together, a natural SL(3,Z) structure arises. This construction, which we call the modular triple, is consistent with the observed triple factorization properties of supersymmetric partition functions derived from localization arguments. We also give a 2d CFT-like construction of the modular triple, and conjecture for the first time a (non-local) Lagrangian formulation for a q-Virasoro model, resembling ordinary Liouville theory.

Place, publisher, year, edition, pages
2019. Vol. 366, no 1, p. 397-422
National Category
Subatomic Physics Mathematical Analysis
Identifiers
URN: urn:nbn:se:uu:diva-379942DOI: 10.1007/s00220-019-03371-1ISI: 000460545700010OAI: oai:DiVA.org:uu-379942DiVA, id: diva2:1299351
Funder
Swedish Research Council, 2014-5517Knut and Alice Wallenberg FoundationAvailable from: 2019-03-26 Created: 2019-03-26 Last updated: 2019-03-26Bibliographically approved

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Nieri, FabrizioPan, YiwenZabzine, Maxim

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