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

Author:

Alexandrov AlexanderORCID

Abstract

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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A new solvable two-matrix model and the BKP tau function;Theoretical and Mathematical Physics;2023-12

2. Новые решаемые двухматричные модели и тау-функция иерархии BКП;Teoreticheskaya i Matematicheskaya Fizika;2023-12

3. On a new proof of the Okuyama–Sakai conjecture;Reviews in Mathematical Physics;2023-08-01

4. Genus expansion of matrix models and $$\hbar $$ expansion of BKP hierarchy;The European Physical Journal C;2023-05-24

5. Schur Q-Polynomials and Kontsevich–Witten Tau Function;Peking Mathematical Journal;2023-04-17

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