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arXiv · 2303.09243

On a new proof of the Okuyama--Sakai conjecture

Di Yang·Qingsheng Zhang
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Abstract

In [41] Okuyama and Sakai gave a conjectural equality for the higher genus generalized Br\'ezin--Gross--Witten (BGW) free energies. In a recent work [46] we established the Hodge-BGW correspondence on the relationship between certain special cubic Hodge integrals and the generalized BGW correlators, and a proof of the Okuyama--Sakai conjecture was also given ${\it ibid}$. In this paper, we give a new proof of the Okuyama--Sakai conjecture by a further application of the Dubrovin--Zhang theory for the KdV hierarchy.

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Di Yang, Qingsheng Zhang. 2023-03-16. On a new proof of the Okuyama--Sakai conjecture. https://arxiv.org/abs/2303.09243

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