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기하학수리물리연구단
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Generalized Brézin–Gross–Witten tau-function as a hypergeometric solution of the BKP hierarchy

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Title
Generalized Brézin–Gross–Witten tau-function as a hypergeometric solution of the BKP hierarchy
Author(s)
Alexander Alexandrov
Publication Date
2023-01
Journal
Advances in Mathematics, v.412
Publisher
Academic Press
Abstract
© 2022 Elsevier Inc.In this paper, we prove that the generalized Brézin–Gross– Witten tau-function is a hypergeometric solution of the BKP hierarchy with simple weight generating function. We claim that it describes a spin version of the strictly monotone Hurwitz numbers. A family of the hypergeometric tau-functions of the BKP hierarchy, corresponding to the rational weight generating functions, is investigated. In particular, the cut-and-join operators are constructed, and the explicit description of the BKP Sato Grassmannian points is derived. Representatives of this family can be associated with interesting families of spin Hurwitz numbers including a spin version of the monotone Hurwitz numbers.
URI
https://pr.ibs.re.kr/handle/8788114/12449
DOI
10.1016/j.aim.2022.108809
ISSN
0001-8708
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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