hurwitz型上同场理论的KP层次

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

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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

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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.