KP integrability of triple Hodge integrals, I. From Givental group to hierarchy symmetries

  title={KP integrability of triple Hodge integrals, I. From Givental group to hierarchy symmetries},
  author={A. Alexandrov},
  journal={arXiv: Mathematical Physics},
  • A. Alexandrov
  • Published 2020
  • Mathematics, Physics
  • arXiv: Mathematical Physics
In this paper we investigate a relation between the Givental group of rank one and 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 identification of the elements of two groups we prove that the generating function of triple Hodge integrals satisfying the… Expand
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