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.
- Pub Date:
- July 2021
- Mathematics - Algebraic Geometry;
- Mathematical Physics;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- 21 pages. v2: added report number to metadata, file unchanged. v3: corrected errors, added example, updated references