论文标题
BKP层次结构，仿射坐标和连接的玻感$ n $ point功能的公式
BKP Hierarchy, Affine Coordinates, and a Formula for Connected Bosonic $N$-Point Functions
论文作者
论文摘要
我们得出了BKP层次结构的tau功能的连接$ n $ point函数的公式。这是Zhou在[Arxiv：1507.01679]中证明的KP Tau功能公式的BKP-Analogue。此外，我们证明了KDV层次结构的tau功能$τ（\ Mathbf {t}）的KP - 摩擦坐标与$τ（\ Mathbf {t}}/2）$的bkp-配合坐标的$τ（\ mathbf {t}）$。作为应用程序，我们提出了一种新算法，以计算Witten-Kontsevich Tau功能和Brézin-Gross-Witten-Witten Tau功能的自由能。
We derive a formula for the connected $n$-point functions of a tau-function of the BKP hierarchy in terms of its affine coordinates. This is a BKP-analogue of a formula for KP tau-functions proved by Zhou in [arXiv:1507.01679]. Moreover, we prove a simple relation between the KP-affine coordinates of a tau-function $τ(\mathbf{t})$ of the KdV hierarchy and the BKP-affine coordinates of $τ(\mathbf{t}/2)$. As applications, we present a new algorithm to compute the free energies of the Witten-Kontsevich tau-function and the Brézin-Gross-Witten tau-function.
