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.
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Dedicated to the memory of Sergey Mironovich Natanzon
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Alexandrov, A. Intersection numbers on \( {\overline{M}}_{g,n} \) and BKP hierarchy. J. High Energ. Phys. 2021, 13 (2021). https://doi.org/10.1007/JHEP09(2021)013
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DOI: https://doi.org/10.1007/JHEP09(2021)013