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arXiv · 1011.5629

Towards a proof of AGT conjecture by methods of matrix models

A. Mironov·A. Morozov·Sh. Shakirov
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Abstract

A matrix model approach to proof of the AGT relation is briefly reviewed. It starts from the substitution of conformal blocks by the Dotsenko-Fateev beta-ensemble averages and Nekrasov functions by a double deformation of the exponentiated Seiberg-Witten prepotential in beta \neq 1 and g_s \neq 0 directions. Establishing the equality of these two quantities is a typical matrix model problem, and it presumably can be ascertained by investigation of integrability properties and developing an associated Harer-Zagier technique for evaluation of the exact resolvent.

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A. Mironov, A. Morozov, Sh. Shakirov. 2010-11-25. Towards a proof of AGT conjecture by methods of matrix models. https://doi.org/10.1142/s0217751x12300013

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