KP hierarchy for Hurwitz-type cohomological field theories

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-07-12 DOI:10.4310/cntp.2023.v17.n2.a1

Reinier Kramer

引用次数: 2

Abstract

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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hurwitz型上同场理论的KP层次

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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