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Aleksandrov, Alexander
기하학 수리물리 연구단
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KP integrability of triple Hodge integrals. I. From Givental group to hierarchy symmetries

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Title
KP integrability of triple Hodge integrals. I. From Givental group to hierarchy symmetries
Author(s)
Alexandrov, Alexander
Publication Date
2021-07
Journal
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, v.15, no.3, pp.615 - 650
Publisher
INT PRESS BOSTON, INC
Abstract
In this paper, we investigate a relation between the Givental group of rank one and the Heisenberg-Virasoro symmetry group of the KP hierarchy. We prove, that only a two-parameter family of the Givental operators can be identified with elements of the Heisenberg-Virasoro symmetry group. This family describes triple Hodge integrals satisfying the Calabi-Yau condition. Using the identification of the elements of two groups we prove that the generating function of triple Hodge integrals satisfying the Calabi-Yau condition and its Theta-version are tau-functions of the KP hierarchy. This generalizes the result of Kazarian on KP integrability in the case of linear Hodge integrals.
URI
https://pr.ibs.re.kr/handle/8788114/10714
ISSN
1931-4523
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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