Jack polynomials, $\hslash$-dependent KP hierarchy and affine Yangian of $\mathfrak{gl}(1)$

Na Wang, Can Zhang, Ke Wu

In this paper, we discuss the relations between the Jack polynomials, $\hslash$-dependent KP hierarchy and affine Yangian of $\mathfrak{gl}(1)$. We find that $\alpha ={\hslash }^2$ and $h_1=\…