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## 27 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…

Elliptic algebra, Frenkel-Kac construction and root of unity limit

- Mathematics
- 2017

We argue that the level-1 elliptic algebra Uq,p(g^) is a dynamical symmetry realized as a part of 2d/5d correspondence where the Drinfeld currents are the screening currents to the q-Virasoro/W block…

Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra and 5D AGT correspondence

- Mathematics
- 2015

In this paper, we consider the q→0 limit of the deformed Virasoro algebra and that of the level 1, 2 representation of the Ding-Iohara-Miki algebra. Moreover, 5D AGT correspondence in this limit is…

q-Virasoro constraints in matrix models

- Physics
- 2015

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…

NSR singular vectors from Uglov polynomials

- MathematicsJournal of Mathematical Physics
- 2022

It was conjectured by Belavin et al. [J. High Energy Phys. 2013(3), 35] that bosonization of a singular vector (in the Neveu–Schwarz sector) of the [Formula: see text] super analog of the Virasoro…

AGT correspondence: Ding–Iohara algebra at roots of unity and Lepowsky–Wilson construction

- Mathematics
- 2014

It was recently conjectured that the AGT correspondence between the U ( r ) ?> —instanton counting on R 4 / Z p ?> and the two-dimensional field theories with the conformal symmetry algebra ( r , p…

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…

Twisted reduction of quiver W-algebras

- Mathematics
- 2019

We consider the $k$-twisted Nekrasov-Shatashvili limit (NS$_k$ limit) of 5d (K-theoretic) and 6d (elliptic) quiver gauge theory, where one of the multiplicative equivariant parameters is taken to be…

The integral representation of solutions of KZ equation and a modification by $\mathcal{K}$ operator insertion

- Mathematics
- 2015

A root of unity limit of the $q$-deformed Virasoro algebra is considered. The $\widehat{sl}(2)_k$ current algebra and the integral formulas of the solutions of the KZ equations can be realized by the…

Developments of theory of effective prepotential from extended Seiberg–Witten system and matrix models

- Physics
- 2015

This is a semi-pedagogical review of a medium size on the exact determination of and the role played by the low energy effective prepotential F in QFT with (broken) extended supersymmetry, which…

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