hurwitz型上同场理论的KP层次

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2021-07-12 DOI:10.4310/cntp.2023.v17.n2.a1

Reinier Kramer

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引用次数: 2

摘要

我们将Kazarian关于单Hodge积分Kadomtsev-Petviashvili可积性的结果推广到与hurwitz型计数问题或超几何τ函数相关的一般上同场理论。该证明使用了超几何tau函数与拓扑递归之间关系的最新结果，以及拓扑递归与上同场理论之间的Eynard-DOSS对应关系。特别地，我们恢复了具有Calabi-Yau条件的三重Hodge积分的KP可积性的Alexandrov结果。

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KP hierarchy for Hurwitz-type cohomological field theories

We generalise a result of Kazarian regarding Kadomtsev-Petviashvili integrability for single Hodge integrals to general cohomological field theories related to Hurwitz-type counting problems or hypergeometric tau-functions. The proof uses recent results on the relations between hypergeometric tau-functions and topological recursion, as well as the Eynard-DOSS correspondence between topological recursion and cohomological field theories. In particular, we recover the result of Alexandrov of KP integrability for triple Hodge integrals with a Calabi-Yau condition.

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来源期刊

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.