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期刊论文
Hodge–GUE Correspondence and the Discrete KdV Equation
Communications in Mathematical Physics,2020,379():461–490 | 2020年09月17日 | https://doi.org/10.1007/s00220-020-03846-6
We prove the conjectural relationship recently proposed in Dubrovin and Yang (Commun Number Theory Phys 11:311–336, 2017) between certain special cubic Hodge integrals of the Gopakumar–Mariño–Vafa type (Gopakumar and Vafa in Adv Theor Math Phys 5:1415–1443, 1999, Mariño and Vafa in Contemp Math 310:185–204, 2002) and GUE correlators, and the conjecture proposed in Dubrovin et al. (Adv Math 293:382–435, 2016) that the partition function of these Hodge integrals is a tau function of the discrete KdV hierarchy.
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