The Loop Equation for Special Cubic Hodge Integrals
Algebraic Geometry
2020-12-25 v3 Mathematical Physics
math.MP
Abstract
As the first step of proving the Hodge-FVH correspondence recently proposed in [19], we derive the Virasoro constraints and the Dubrovin--Zhang loop equation for special cubic Hodge integrals. We show that this loop equation has a unique solution, and provide a new algorithm for the computation of these Hodge integrals. We also observe the gap phenomenon for certain special cubic Hodge free energies.
Cite
@article{arxiv.1811.10234,
title = {The Loop Equation for Special Cubic Hodge Integrals},
author = {Si-Qi Liu and Di Yang and Youjin Zhang and Chunhui Zhou},
journal= {arXiv preprint arXiv:1811.10234},
year = {2020}
}
Comments
Minor changes: corrected typos; added references; improved presentation; 24 pages