On affine coordinates of the tau-function for open intersection numbers
Mathematical Physics
2021-10-27 v4 math.MP
Abstract
In Alexandrov's work \cite{al2, al3} it has been shown that the extended partition function introduced by Buryak in \cite{bu, bu2} is a tau-function of the KP hierarchy. In this work, we compute the affine coordinates of this tau-function on the Sato Grassmannian, and rewrite the Virasoro constraints as recursions for the affine coordinates in the fermionic picture. As applications we derive some formulas for the extended partition function and the connected -point functions using methods developed by Zhou in \cite{zhou1} based on the boson-fermion correspondence.
Cite
@article{arxiv.2106.00470,
title = {On affine coordinates of the tau-function for open intersection numbers},
author = {Zhiyuan Wang},
journal= {arXiv preprint arXiv:2106.00470},
year = {2021}
}