65 citations · 527 across the 30 of their papers we have counts for
9 papers · 1 filter
(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…
NSR singular vectors from Uglov polynomials
Mikhail Bershtein, Angelina Vargulevich
It was conjectured in arXiv:1211.2788 that bosonization of singular vectors (in Neveu-Schwarz sector) of super analog of the Virasoro algebra can be identified with…
Quantum spectral problems and isomonodromic deformations
Mikhail Bershtein, Pavlo Gavrylenko, Alba Grassi
We develop a self-consistent approach to study the spectral properties of a class of quantum mechanical operators by using the knowledge about monodromies of linear sys…
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 …
Cluster Toda chains and Nekrasov functions
M. Bershtein, P. Gavrylenko, A. Marshakov
In this paper the relation between the cluster integrable systems and -difference equations is extended beyond the Painlevé case. We consider the class of hyperelliptic curves w…
Cluster integrable systems, q-Painleve equations and their quantization
M. Bershtein, P. Gavrylenko, A. Marshakov
We discuss the relation between the cluster integrable systems and -difference Painlevé equations. The Newton polygons corresponding to these integrable systems are all 16 conve…