BROWSE

Related Scientist

aleksandrov,alexander's photo.

aleksandrov,alexander
기하학수리물리연구단
more info

ITEM VIEW & DOWNLOAD

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

Cited 0 time in webofscience Cited 0 time in scopus
375 Viewed 0 Downloaded
Title
KP integrability of triple Hodge integrals. I. From Givental group to hierarchy symmetries
Author(s)
Alexander Alexandrov
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
DOI
10.4310/CNTP.2021.v15.n3.a6
ISSN
1931-4523
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
There are no files associated with this item.

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse