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arXiv · 1811.10234

The Loop Equation for Special Cubic Hodge Integrals

Si-Qi Liu·Di Yang·Youjin Zhang·Chunhui Zhou
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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.

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Si-Qi Liu, Di Yang, Youjin Zhang, Chunhui Zhou. 2018-11-26. The Loop Equation for Special Cubic Hodge Integrals. https://arxiv.org/abs/1811.10234

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