2023/03/16 by Di Yang, Yang, Di, Qingsheng Zhang +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.2303.09243
openalex publication_date 2023/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In [41] Okuyama and Sakai gave a conjectural equality for the higher genus generalized Brézin--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.