3 papers
math-ph2025
Generalized Macdonald functions and quantum toroidal gl(1) algebra
Jean-Emile Bourgine, Luca Cassia, Artem Stoyan
The Macdonald operator is known to coincide with a certain element of the quantum toroidal algebra in the Fock representation of levels . A generalization…
math-ph2025
Blowup relations and -Painlevé VI
Artem Stoyan
We propose and study blowup relations obeyed by the partition functions of (quiver) SYM theories with gauge group and four flavours. By analyzing the W…
math-ph2020
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…