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Q-Polynomial expansion for Brezin-Gross-Witten tau-function (2104.01357v2)
Published 3 Apr 2021 in nlin.SI, hep-th, math-ph, math.AG, math.DG, and 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.
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