175 citations · 440 across the 15 of their papers we have counts for
12 papers · 1 filter
Bands and gaps in Nekrasov partition function
A. Gorsky, A. Milekhin, N. Sopenko
We discuss the effective twisted superpotentials of 2d theories arising upon the reduction of 4d gauge theories on the -deformed cigar-like g…
Surface defects and instanton-vortex interaction
A. Gorsky, B. Le Floch, A. Milekhin +1
We propose a simple formula for the 4d-2d partition function of half-BPS surface defects in gauge theories: $Z^{\text{4d-2d}}=\langle Z^{\text{2d}} \rangle_{\…
The Condensate from Torus Knots
A. Gorsky, A. Milekhin, N. Sopenko
We discuss recently formulated instanton-torus knot duality in -deformed 5D SQED on focusing at the microscopic aspects of the condensate formation in…
Condensates and instanton - torus knot duality. Hidden Physics at UV scale
A. Gorsky, A. Milekhin
We establish the duality between the torus knot superpolynomials or the Poincaré polynomials of the Khovanov homology and particular condensates in -deformed 5D supersymmetric Q…
The CP(N-1) model on a Disc and Decay of a Non-Abelian String
A. Gorsky, A. Milekhin
We consider the role of quantum effects in the non-perturbative decay of non-abelian string with orientational moduli in non-supersymmetric D=4 gauge theory. To this aim the effect…
Aspects of the N=4 SYM amplitude -- Wilson polygon duality
A. Gorsky, A. Zhiboedov
We discuss formulation of Wilson polygon - MHV amplitude duality at the perturbative level in various regularizations. For four gluons it is shown that at one loop one can formulat…
One-loop derivation of the Wilson polygon - MHV amplitude duality
A. Gorsky, A. Zhiboedov
We discuss the origin of the Wilson polygon - MHV amplitude duality at the perturbative level. It is shown that the duality for the MHV amplitudes at one-loop level can be proven u…
Double Elliptic Dynamical Systems From Generalized Mukai - Sklyanin Algebras
H. Braden, A. Gorsky, A. Odesskii +1
We consider the double-elliptic generalisation of dynamical systems of Calogero-Toda-Ruijsenaars type using finite-dimensional Mukai-Sklyanin algebras. The two-body system, which i…
Dualities in Quantum Hall System and Noncommutative Chern-Simons Theory
A. Gorsky, I. I. Kogan, C. Korthels-Altes
We discuss different dualities of QHE in the framework of the noncommutative Chern-Simons theory. First, we consider the Morita or T-duality transformation on the torus which maps…
Schwinger type processes via branes and their gravity duals
A. S. Gorsky, K. A. Saraikin, K. G. Selivanov
We consider Schwinger type processes involving the creation of the charge and monopole pairs in the external fields and propose interpretation of these processes via corresponding…
Hamiltonian systems of Calogero type and two dimensional Yang-Mills theory
A. Gorsky, N. Nekrasov
We obtain integral representations for the wave functions of Calogero-type systems,corresponding to the finite-dimentional Lie algebras,using exact evaluation of path integral.We g…
Degenerations of Sklyanin algebra and Askey-Wilson polynomials
A. S. Gorsky, A. V. Zabrodin
A new trigonometric degeneration of the Sklyanin algebra is found and the functional realization of its representations in space of polynomials in one variable is studied. A furthe…