On the Hodge-BGW correspondence
Algebraic Geometry
2022-01-19 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.2112.12736,
title = {On the Hodge-BGW correspondence},
author = {Di Yang and Qingsheng Zhang},
journal= {arXiv preprint arXiv:2112.12736},
year = {2022}
}
Comments
It was added a new application in the Appendix; added references; corrected typos; 25 pages