49 citations · 147 across the 8 of their papers we have counts for
5 papers · 1 filter
Twist-field representations of W-algebras, exact conformal blocks and character identities
M. Bershtein, P. Gavrylenko, A. Marshakov
We study the twist-field representations of W-algebras and generalize construction of the corresponding vertex operators to D- and B-series. It is shown, how the computation of cha…
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.…
Exact conformal blocks for the W-algebras, twist fields and isomonodromic deformations
P. Gavrylenko, A. Marshakov
We consider the conformal blocks in the theories with extended conformal W-symmetry for the integer Virasoro central charges. We show that these blocks for the generalized twist fi…
Isomonodromic -functions and conformal blocks
P. Gavrylenko
We study the solution of the Schlesinger system for the 4-point isomonodromy problem and conjecture an expression for the isomonodromic -function in terms of 2…
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…