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

@article{Alexandrov2020KPIO,
  title={KP integrability of triple Hodge integrals. I. From Givental group to hierarchy symmetries},
  author={A. Alexandrov},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
  • A. Alexandrov
  • Published 2020
  • Physics, Mathematics
  • 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
KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model