A. Stoyan

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math-ph2025

Blowup relations and $q$ -Painlevé VI

Artem Stoyan

We propose and study blowup relations obeyed by the partition functions of $5 d$ $N = 1$ (quiver) SYM theories with $S U (2)$ gauge group and four flavours. By analyzing the W…

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 $gl (1)$ algebra in the Fock representation of levels $(1, 0)$ . A generalization…

Blowup relations and q-Painlevé VI

Generalized Macdonald functions and quantum toroidal gl(1) algebra

Blowup relations and $q$ -Painlevé VI