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Solving q-Virasoro constraints
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.
Society of Fellows, Harvard University, Cambridge, USA; Mathematical Sciences Research Institute, Berkeley, USA.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.ORCID iD: 0000-0002-5845-2283
2018 (English)Manuscript (preprint) (Other academic)
Abstract [en]

We show how q-Virasoro constraints can be derived for a large class of (q,t)-deformed eigenvalue matrix models by an elementary trick of inserting certain q-difference operators under the integral, in complete analogy with full-derivative insertions for beta-ensembles. From free-field point of view the models considered have zero momentum of the highest weight, which leads to an extra constraint T_{-1} Z = 0. We then show how to solve these q-Virasoro constraints recursively and comment on the possible applications for gauge theories, for instance calculation of (supersymmetric) Wilson loop averages in gauge theories on D^2 \cross S^1 and S^3.

Place, publisher, year, edition, pages
2018.
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-371291OAI: oai:DiVA.org:uu-371291DiVA, id: diva2:1272969
Available from: 2018-12-20 Created: 2018-12-20 Last updated: 2019-05-13Bibliographically approved

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https://arxiv.org/pdf/1810.00761.pdf

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Lodin, RebeccaPopolitov, AleksandrZabzine, Maxim

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