论文标题
$ B $，量子光谱曲线和旋转Hurwitz数字的Kac-Schwarz运营商
Kac-Schwarz Operators of Type $B$, Quantum Spectral Curves, and Spin Hurwitz Numbers
论文作者
论文摘要
给定满足$τ（0）= 1 $的bkp层次结构的tau功能$τ（t）$，我们讨论了其在同位素Sato Grassmannian及其BKP-WAVE功能上其BKP-affine坐标之间的关系。使用此结果，我们在BKP-afferine坐标方面为$τ（t）$制定了一种类型的kac-schwarz运算符。例如，我们计算带有完整周期的旋转单hurwitz数字的BKP tau功能的仿射坐标，并找到一对kac-schwarz运算符$（P，Q）$满足$ [P，Q] = 1 $。通过执行此操作，我们获得了自旋单hurwitz数字的量子光谱曲线。
Given a tau-function $τ(t)$ of the BKP hierarchy satisfying $τ(0)=1$, we discuss the relation between its BKP-affine coordinates on the isotropic Sato Grassmannian and its BKP-wave function. Using this result, we formulate a type of Kac-Schwarz operators for $τ(t)$ in terms of BKP-affine coordinates. As an example, we compute the affine coordinates of the BKP tau-function for spin single Hurwitz numbers with completed cycles, and find a pair of Kac-Schwarz operators $(P,Q)$ satisfying $[P,Q]=1$. By doing this, we obtain the quantum spectral curve for spin single Hurwitz numbers.
