Q-Polynomial expansion for Brezin-Gross-Witten tau-function
Exactly Solvable and Integrable Systems
2022-07-20 v2 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
Differential Geometry
math.MP
Abstract
In this paper, we prove a conjecture of Alexandrov that the generalized Brezin-Gross-Witten tau-functions are hypergeometric tau functions of BKP hierarchy after re-scaling. In particular, this shows that the original BGW tau-function, which has enumerative geometric interpretations, can be represented as a linear combination of Schur Q-polynomials with simple coefficients.
Keywords
Cite
@article{arxiv.2104.01357,
title = {Q-Polynomial expansion for Brezin-Gross-Witten tau-function},
author = {Xiaobo Liu and Chenglang Yang},
journal= {arXiv preprint arXiv:2104.01357},
year = {2022}
}
Comments
27 pages. Published version