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arXiv · 2611.06675

Concavity of Normalized Generalized Brézin--Gross--Witten Correlators and Its Applications

Chenglang Yang·Xuhui Zhang
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Abstract

In this paper, we study the generalized Brézin--Gross--Witten model using its BKP integrability. By virtue of the formula for connected $n$-point functions of tau-functions of the BKP hierarchy obtained by Wang and the first-named author, we prove that the normalized generalized BGW correlators are strictly concave for fixed genus and fixed total degree. As applications, we establish the strict Schur-concavity and derive upper and lower bounds for these correlators. We also prove the strict monotonicity of normalized ordinary BGW correlators, which resolves a conjecture by Guo--Norbury--Yang--Zagier.

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Chenglang Yang, Xuhui Zhang. 2026-11-04. Concavity of Normalized Generalized Brézin--Gross--Witten Correlators and Its Applications. https://arxiv.org/abs/2611.06675

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