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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…
math-ph2024
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-ph2023★ 3 cited
Elliptic Calogero-Moser system, crossed and folded instantons, and bilinear identities
Andrei Grekov, Nikita Nekrasov
Affine analogues of the Q-functions are constructed using folded instantons partition functions. They are shown to be the solutions of the quantum spectral curve of the N-body elli…