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arXiv · 2204.12273

On higher Br\'ezin-Gross-Witten tau-functions

Alexander Alexandrov·Saswati Dhara
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Abstract

In this paper, we consider the higher Br\'ezin--Gross--Witten tau-functions, given by the matrix integrals. For these tau-functions we construct the canonical Kac--Schwarz operators, quantum spectral curves, and $W^{(3)}$-constraints. For the simplest representative we construct the cut-and-join operators, which describe the algebraic version of the topological recursion. We also investigate a one-parametric generalization of the higher Br\'ezin--Gross--Witten tau-functions.

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Alexander Alexandrov, Saswati Dhara. 2022-04-26. On higher Br\'ezin-Gross-Witten tau-functions. https://doi.org/10.1093/imrn%2Frnae286

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