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Aleksandrov, Alexander
기하학 수리물리 연구단
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Intersection numbers on M¯ g,n and BKP hierarchy

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Title
Intersection numbers on M¯ g,n and BKP hierarchy
Author(s)
Alexander Alexandrov
Publication Date
2021-09
Journal
Journal of High Energy Physics, v.2021, no.9
Publisher
Springer Science and Business Media Deutschland GmbH
Abstract
© 2021, The Author(s).In their recent inspiring paper, Mironov and Morozov claim a surprisingly simple expansion formula for the Kontsevich-Witten tau-function in terms of the Schur Q-functions. Here we provide a similar description for the Brézin-Gross-Witten tau-function. Moreover, we identify both tau-functions of the KdV hierarchy, which describe intersection numbers on the moduli spaces of punctured Riemann surfaces, with the hypergeometric solutions of the BKP hierarchy.
URI
https://pr.ibs.re.kr/handle/8788114/10610
DOI
10.1007/JHEP09(2021)013
ISSN
1126-6708
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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