3 citations · 3 across the 4 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
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-ph2024
Elliptic analogue of Vershik-Kerov limit shape
Andrey Grekov, Nikita Nekrasov
We review the limit shape problem for the Plancherel measure and its generalizations found in supersymmetric gauge theory instanton count. We focus on the measure, interpolating be…
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…