Towards a proof of AGT conjecture by methods of matrix models

Details Towards a proof of AGT conjecture by methods of matrix models Towards a proof of AGT conjecture by methods of matrix models

2010-11-25

arxiv.org/abs/1011.5629v1

International Journal of Modern Phsyics A27 (2012) 1230001

Physics

High Energy Physics

High Energy Physics - Theory

25 pages

Scientific paper

10.1142/S0217751X12300013

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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