2 papers
math-ph2018
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…
hep-th2016
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.…