477 citations · 2.2k across the 50 of their papers we have counts for
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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…
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…
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.…
On Lie Groups and Toda Lattices
O. Kruglinskaya, A. Marshakov
We extend the construction of the relativistic Toda chains as integrable systems on the Poisson submanifolds in Lie groups beyond the case of A-series. For the simply-laced case th…
Residue Formulas for Prepotentials, Instanton Expansions and Conformal Blocks
P. Gavrylenko, A. Marshakov
We study the extended prepotentials for the S-duality class of quiver gauge theories, considering them as quasiclassical tau-functions, depending on gauge theory condensates and ba…
Tau-functions for Quiver Gauge Theories
A. Marshakov
The prepotentials for the quiver supersymmetric gauge theories are defined as quasiclassical tau-functions, depending on two different sets of variables: the parameters of the UV g…