# q-Virasoro constraints in matrix models

@article{Nedelin2015qVirasoroCI, title={q-Virasoro constraints in matrix models}, author={Anton Nedelin and Maxim Zabzine}, journal={Journal of High Energy Physics}, year={2015}, volume={2017}, pages={1-18} }

A bstractThe 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…

## 42 Citations

Virasoro constraint for Uglov matrix model

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We study the root of unity limit of (q,t)-deformed Virasoro matrix models, for which we call the resulting model Uglov matrix model. We derive the associated Virasoro constraints on the…

of Chern-Simons-matter Matrix Models

- Mathematics
- 2016

We revisit planar resolvents of matrix models corresponding to N ≥ 3 Chern-Simons-matter theories with the gauge groups of the form U(N1)×U(N2) coupled to any number of bi-fundamental…

Generalized Witt and Witt n-algebras, Virasoro algebras and constraints, and KdV equations from R(p,q)-deformed quantum algebras

- Mathematics
- 2020

We perform generalizations of Witt and Virasoro algebras, and derive the corresponding Korteweg-de Vries equations from known R(p,q)-deformed quantum algebras previously introduced in J. Math. Phys.…

Matrix Model of Chern-Simons Matter Theories Beyond The Spherical Limit

- Mathematics
- 2016

A class of matrix models which arises as partition function in U(N) Chern-Simons matter theories on three sphere is investigated. Employing the standard technique of the 1/N expansion we solve the…

q-Vertex Operator from 5D Nekrasov Function

- Mathematics
- 2016

The five-dimensional AGT correspondence implies the connection between the q-deformed Virasoro block and the 5d Nekrasov partition function. In this paper, we determine a q-deformation of the…

On refined Chern–Simons and refined ABJ matrix models

- MathematicsLetters in Mathematical Physics
- 2022

We consider the matrix model of U(N) refined Chern–Simons theory on $$S^3$$
S
3
for the unknot. We derive a q-difference operator whose insertion in the matrix integral reproduces an infinite…

On deformations of the Witt n-algebra

- MathematicsJournal of Mathematical Physics
- 2018

We reinvestigate the two different q-Witt algebras and construct their n-algebras. In one case, the super version is also presented. Moreover we investigate the central extensions and present the…

BPS Quivers of Five-Dimensional SCFTs, Topological Strings and q-Painlevé Equations

- Mathematics
- 2020

We study the discrete flows generated by the symmetry group of the BPS quivers for Calabi-Yau geometries describing five dimensional superconformal quantum field theories on a circle. These flows…

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