A. Shchechkin

collaborators

3 papers

math-ph2026

(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 $(1, k)$ Virasoro models. For $k > 1$ case…

math-ph2025

Bilinear tau forms of quantum Painlevé equations and $C^{2} / Z_{2}$ 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 $C^{2} / Z_{2}$ blowup relatio…

hep-th2025

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 $N = 2$ four-dimensional $S U (2)$ gauge theory partition functions in general $Ω$ -background. This is done by…

(1,k) CFT and RH problem with the c=-2 case

Bilinear tau forms of quantum Painlevé equations and C2/Z2​ blowup relations in SUSY gauge theories

Refined Painlevé/gauge theory correspondence and quantum tau functions

Bilinear tau forms of quantum Painlevé equations and $C^{2} / Z_{2}$ blowup relations in SUSY gauge theories