Seiberg-Witten curve via generalized matrix model

Abstract

We study the generalized matrix model which corresponds to the n-point toric Virasoro conformal block. This describes four-dimensional N=2 SU(2)^n gauge theory with circular quiver diagram by the AGT relation. We first verify that it is obtained from the perturbative calculation of the Liouville correlation function. We derive the Seiberg-Witten curve for N=2 gauge theory as a spectral curve of the generalized matrix model.

22 pages, 3 figures; v2: references added, typos corrected; v3: minor corrections, references added

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Cited by in corpus (19)

• A direct proof of AGT conjecture at beta = 1
• M5-branes, toric diagrams and gauge theory duality
• Vertices, Vortices & Interacting Surface Operators
• Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
• Matrix models for irregular conformal blocks and Argyres-Douglas theories
• A slow review of the AGT correspondence
• S-duality as a beta-deformed Fourier transform
• Non-Perturbative Topological Strings And Conformal Blocks
• Generalized matrix models and AGT correspondence at all genera
• Matrix model from N = 2 orbifold partition function
• S-Duality and Modular Transformation as a non-perturbative deformation of the ordinary pq-duality
• β-deformed matrix model and Nekrasov partition function
• Large N limit of beta-ensembles and deformed Seiberg-Witten relations
• Large N techniques for Nekrasov partition functions and AGT conjecture
• Argyres-Douglas theories and Liouville Irregular States
• Challenges of beta-deformation
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Genus one correction to Seiberg-Witten prepotential from β-deformed matrix model
• 5D AGT conjecture for circular quivers