65 citations · 527 across the 30 of their papers we have counts for
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Gauge theories on compact toric surfaces, conformal field theories and equivariant Donaldson invariants
Mikhail Bershtein, Giulio Bonelli, Massimiliano Ronzani +1
We show that equivariant Donaldson polynomials of compact toric surfaces can be calculated as residues of suitable combinations of Virasoro conformal blocks, by building on AGT cor…
Exact results for supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants
Mikhail Bershtein, Giulio Bonelli, Massimiliano Ronzani +1
We provide a contour integral formula for the exact partition function of supersymmetric gauge theories on compact toric four-manifolds by means of supersymmetr…
Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity
A. A. Belavin, M. A. Bershtein, G. M. Tarnopolsky
We continue our study of the AGT correspondence between instanton counting on C^2/Z_p and Conformal field theories with the symmetry algebra A(r,p). In the cases r=1, p=2 and r=2,…
Instantons and 2d Superconformal field theory
A. Belavin, V. Belavin, M. Bershtein
A recently proposed correspondence between 4-dimensional N=2 SUSY SU(k) gauge theories on R^4/Z_m and SU(k) Toda-like theories with Z_m parafermionic symmetry is used to construct…
A remark on the three approaches to 2D Quantum gravity
A. Belavin, M. Bershtein, G. Tarnopolsky
The one-matrix model is considered. The generating function of the correlation numbers is defined in such a way that this function coincide with the generating function of the Liou…
Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory
M. A. Bershtein, V. A. Fateev, A. V. Litvinov
In this paper we consider parafermionic Liouville field theory. We study integral representations of three-point correlation functions and develop a method allowing us to compute t…