On the Hodge-BGW correspondence

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.

It was added a new application in the Appendix; added references; corrected typos; 25 pages