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A direct proof of AGT conjecture at beta = 1
A. Mironov, A. Morozov, Sh. Shakirov
The AGT conjecture claims an equivalence of conformal blocks in 2d CFT and sums of Nekrasov functions (instantonic sums in 4d SUSY gauge theory). The conformal blocks can be presen…
Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
A. Mironov, A. Morozov, Sh. Shakirov
The AGT relation identifies the Nekrasov functions for various N=2 SUSY gauge theories with the 2d conformal blocks, which possess explicit Dotsenko-Fateev matrix model (beta-ensem…
Towards a proof of AGT conjecture by methods of matrix models
A. Mironov, A. Morozov, Sh. Shakirov
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 Nekr…
Matrix model version of AGT conjecture and generalized Selberg integrals
A. Mironov, Al. Morozov, And. Morozov
Operator product expansion (OPE) of two operators in two-dimensional conformal field theory includes a sum over Virasoro descendants of other operator with universal coefficients,…
Conformal blocks as Dotsenko-Fateev Integral Discriminants
A. Mironov, A. Morozov, Sh. Shakirov
As anticipated in [1], elaborated in [2-4], and explicitly formulated in [5], the Dotsenko-Fateev integral discriminant coincides with conformal blocks, thus providing an elegant a…