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Journal Article

KP hierarchy for Hurwitz-type cohomological field theories

MPS-Authors
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Kramer,  Reinier
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://dx.doi.org/10.4310/CNTP.2023.v17.n2.a1
(Publisher version)

https://doi.org/10.48550/arXiv.2107.05510
(Preprint)

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Fulltext (public)

2107.05510.pdf
(Preprint), 399KB

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Citation

Kramer, R. (2023). KP hierarchy for Hurwitz-type cohomological field theories. Communications in Number Theory and Physics, 17(2), 249-291. doi:10.4310/CNTP.2023.v17.n2.a1.


Cite as: https://hdl.handle.net/21.11116/0000-000D-6E44-C
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.