Matrix model from N = 2 orbifold partition function

Abstract

The orbifold generalization of the partition function, which would describe the gauge theory on the ALE space, is investigated from the combinatorial perspective. It is shown that the root of unity limit of the q-deformed partition function plays a crucial role on the orbifold projection. Then starting from the combinatorial representation of the partition function, a new type of multi-matrix model is derived by considering its asymptotic behavior. It is also shown that Seiberg-Witten curve for the corresponding gauge theory arises from the spectral curve of this multi-matrix model.

37 pages, 4 figures; revised version

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• Fractional M2-branes
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• Massive Scaling Limit of beta-Deformed Matrix Model of Selberg Type
• Matrix models for 2* theories
• Generalized matrix models and AGT correspondence at all genera
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• All orders asymptotic expansion of large partitions
• Seiberg-Witten curve via generalized matrix model
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Cited by in corpus (18)

• 4d Index to 3d Index and 2d TQFT
• M5-branes, toric diagrams and gauge theory duality
• Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity
• A slow review of the AGT correspondence
• Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models
• 2d-4d Connection between q-Virasoro/W Block at Root of Unity Limit and Instanton Partition Function on ALE Space
• Fractional quiver W-algebras
• Vortex counting from field theory
• Instanton Counting, Quantum Geometry and Algebra
• Beta-ensembles for toric orbifold partition function
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• N=2 gauge theories, instanton moduli spaces and geometric representation theory
• Vortices on Orbifolds
• Comments on chiral algebras and $\Omega$-deformations
• Twisted reduction of quiver W-algebras
• Spinless basis for spin-singlet FQH states
• Virasoro Constraint for Uglov Matrix Model
• Affine SU(N) algebra from wall-crossings