51 citations · 136 across the 10 of their papers we have counts for
10 papers
(1,k) CFT and RH problem with the c=-2 case
Mikhail Bershtein, Andrei Grigorev, Anton Shchechkin
Following approach of Iorgov--Lisovyy--Teschner, we construct solutions of the (modified) Riemann--Hilbert problem using conformal blocks of Virasoro models. For case…
Bilinear tau forms of quantum Painlevé equations and blowup relations in SUSY gauge theories
Giulio Bonelli, Anton Shchechkin, Alessandro Tanzini
We derive bilinear tau forms of the canonically quantized Painlevé equations, thereby relating them to those previously obtained from the blowup relatio…
Refined Painlevé/gauge theory correspondence and quantum tau functions
G. Bonelli, A. Shchechkin, A. Tanzini
In this paper we study strong coupling asymptotic expansions of four-dimensional gauge theory partition functions in general -background. This is done by…
Hamiltonian reductions in Matrix Painlevé systems
Mikhail Bershtein, Andrei Grigorev, Anton Shchechkin
For certain finite groups of Bäcklund transformations we show that the dynamics of -invariant configurations of Calogero--Painlevé particles is equivalent to certain…
Folding transformations for q-Painleve equations
M. Bershtein, A. Shchechkin
Folding transformation of the Painlevé equations is an algebraic (of degree greater than 1) transformation between solutions of different equations. In 2005 Tsuda, Okamoto and Saka…
Blowup relations on from Nakajima-Yoshioka blowup relations
A. Shchechkin
We obtain bilinear relations on Nekrasov partition functions, arising from study of tau functions of quantum -Painlevé equations, from Nakajima-Yoshioka blowup relations by an e…
Painleve equations from Nakajima-Yoshioka blowup relations
M. Bershtein, A. Shchechkin
Gamayun, Iorgov and Lisovyy in 2012 proposed that tau function of the Painlevé equation is equal to the series of Virasoro conformal blocks. We study similar series of …
Backlund transformation of Painleve III() tau function
M. A. Bershtein, A. I. Shchechkin
We study explicit formula (suggested by Gamayun, Iorgov, Lisovyy) for Painlevé III() function in terms of Virasoro conformal blocks with central charge . The Painlevé e…
Q-deformed Painleve tau function and q-deformed conformal blocks
M. A. Bershtein, A. I. Shchechkin
We propose -deformation of the Gamayun-Iorgov-Lisovyy formula for Painlevé function. Namely we propose formula for function for -difference Painlevé equation correspo…
Bilinear equations on Painleve tau functions from CFT
M. A. Bershtein, A. I. Shchechkin
In 2012 Gamayun, Iorgov, Lisovyy conjectured an explicit expression for the Painlevé VI ~function in terms of the Liouville conformal blocks with central charge . We prove…