3 papers
hep-th2026
Vershik-Kerov in higher times
Andrei Grekov, Nikita Nekrasov
Several generalizations of Vershik-Kerov limit shape problem are motivated by topological string theory and supersymmetric gauge theory instanton count. In this paper specifically…
math-ph2025
Noncommutative Jacobi identity, and gauge theory
Andrei Grekov, Nikita Nekrasov
We prove the noncommutative analogue of Jacobi triple product identity. As an application we organizing the q-characters of circular quiver gauge theories into an infinite product.…
math-ph2024
Classical elliptic integrable systems from the moduli space of instantons
Andrei Grekov
This paper is intended to serve as a review of a series of papers with Nikita Nekrasov, where we achieved several important results concerning the relation between the moduli space…