Intersection numbers on M ¯ g , n $$ {\overline{M}}_{g,n} $$ and BKP hierarchy

Intersection numbers on M ¯ g , n $$ {\overline{M}}_{g,n} $$ and BKP hierarchy

Abstract 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-functio...

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Bibliographic Details
Main Author: Alexander Alexandrov
Format: Article
Language:English
Published: SpringerOpen 2021-09-01
Series:Journal of High Energy Physics
Subjects:
2D Gravity
Integrable Hierarchies
Matrix Models
Online Access:https://doi.org/10.1007/JHEP09(2021)013
Description
Summary:Abstract 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.
ISSN:1029-8479

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