477 citations · 2.2k across the 50 of their papers we have counts for
49 papers
2d Sigma Models on Non-compact Calabi-Yau and Liouville Theory
Pavlo Gavrylenko, Evgenii Ievlev, Andrei Marshakov +2
We consider a class of two dimensional conformal supersymmetric gauge linear sigma models with fields of charges and fields of charges , wh…
Irregular conformal blocks, Painlevé III and the blow-up equations
Pavlo Gavrylenko, Andrei Marshakov, Artem Stoyan
We study the relation of irregular conformal blocks with the Painlevé III equation. The functional representation for the quasiclassical irregular block is shown to be consiste…
Cluster integrable systems and spin chains
A. Marshakov, M. Semenyakin
We discuss relation between the cluster integrable systems and spin chains in the context of their correspondence with 5d supersymmetric gauge theories. It is shown that $\mathfrak…
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…
Free fermions, W-algebras and isomonodromic deformations
P. Gavrylenko, A. Marshakov
We consider the theory of multicomponent free massless fermions in two dimensions and use it for construction of representations of W-algebras at integer Virasoro central charges.…