On the Hodge-BGW correspondence

2021/12/23 by Yang, Di, Zhang, Qingsheng
#Algebraic Geometry (math.AG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2112.12736

Abstract

We establish an explicit relationship between the partition function of certain special cubic Hodge integrals and the generalized Brezin--Gross--Witten (BGW) partition function, which we refer to as the Hodge-BGW correspondence. As an application, we obtain an ELSV-like formula for generalized BGW correlators.

Related

• Hodge-GUE correspondence and the discrete KdV equation
• KP hierarchy for Hodge integrals
• On cubic Hodge integrals and random matrices
• On a new proof of the Okuyama--Sakai conjecture
• The Hodge-FVH Correspondence