Towards a proof of AGT conjecture by methods of matrix models
High Energy Physics - Theory
2012-01-05 v1
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.
Keywords
Cite
@article{arxiv.1011.5629,
title = {Towards a proof of AGT conjecture by methods of matrix models},
author = {A. Mironov and A. Morozov and Sh. Shakirov},
journal= {arXiv preprint arXiv:1011.5629},
year = {2012}
}
Comments
25 pages