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Title:
Towards a proof of the AGT conjecture
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Abstract:
The AGT conjecture identifies the conformal blocks of 2d CFT with Nekrasov's expansion of prepotentials in N=2 SYM theories in 4d. In the free-field formalism conformal blocks can be represented in terms of Dotsenko-Fateev integrals and acquire the form of the correlators in Penner beta-ensemble -- a special kind of an eigenvalue matrix model. From this perspective the two sides of the AGT conjecture look like the two kinds of bilinear expansions of a particular correlator, which can be explicitly evaluated with the help of Selberg integrals.
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