Virasoro Constraint for Uglov Matrix Model

Abstract

We study the root of unity limit of $(\text{q},\text{t})$-deformed Virasoro matrix models, for which we call the resulting model Uglov matrix model. We derive the associated Virasoro constraints on the partition function and find agreement of the central charge with the expression obtained from the level-rank duality associated with the parafermion CFT.

arXiv comment15 pages

References in corpus (31)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Localization techniques in quantum field theories
• Integrability and Matrix Models
• Holomorphic Blocks in Three Dimensions
• A Quantum Deformation of the Virasoro Algebra and the Macdonald Symmetric Functions
• Collective fields, Calogero-Sutherland model and generalized matrix models
• BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters
• Factorisation of N = 2 theories on the squashed 3-sphere
• Para-Liouville/Toda central charges from M5-branes
• Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories
• Gauge Theories on ALE Space and Super Liouville Correlation Functions
• 3d & 5d gauge theory partition functions as q-deformed CFT correlators
• Instantons on ALE spaces and Super Liouville Conformal Field Theories
• Yangian Gelfand-Zetlin Bases, gl(N)-Jack Polynomials and computation of Dynamical Correlation Functions in the Spin Calogero-Sutherland Model
• On matrix models and their $q$-deformations
• Holomorphic blocks and the 5d AGT correspondence
• 2d-4d Connection between q-Virasoro/W Block at Root of Unity Limit and Instanton Partition Function on ALE Space
• Spin-Singlet Quantum Hall States and Jack Polynomials with a Prescribed Symmetry
• $q$-Virasoro/W Algebra at Root of Unity and Parafermions
• Matrix model from N = 2 orbifold partition function
• $q$-Virasoro modular double and 3d partition functions
• Vortex counting from field theory
• Solving q-Virasoro constraints
• Intersecting Defects and Supergroup Gauge Theory
• Beta-ensembles for toric orbifold partition function
• Exact SUSY Wilson loops on $S^3$ from $q$-Virasoro constraints
• Vortices on Orbifolds
• Spinless basis for spin-singlet FQH states
• Classification of irreducible Harish-Chandra modules over gap-$p$ Virasoro algebras

Cited by in corpus (1)

• NSR singular vectors from Uglov polynomials