Elliptic Calogero-Moser system, crossed and folded instantons, and bilinear identities
Mathematical Physics
2023-10-10 v1 High Energy Physics - Theory
Algebraic Geometry
math.MP
Quantum Algebra
Abstract
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 elliptic Calogero-Moser (eCM) system, the quantum Krichever curve. They also solve the elliptic analogue of the quantum Wronskian equation. In the companion paper we present the quantum analogue of Krichever's Lax operator for eCM. A connection to crossed instantons on Taub-Nut spaces, and opers on a punctured torus is pointed out.
Keywords
Cite
@article{arxiv.2310.04571,
title = {Elliptic Calogero-Moser system, crossed and folded instantons, and bilinear identities},
author = {Andrei Grekov and Nikita Nekrasov},
journal= {arXiv preprint arXiv:2310.04571},
year = {2023}
}
Comments
14 pages, contribution to Igor Krichever AMS memorial volume