3D Bosons, 3-Jack polynomials and affine Yangian of $\mathfrak{gl}(1)$

Na Wang, Ke Wu

3D (3 dimensional) Young diagrams are a generalization of 2D Young diagrams. In this paper, We consider 3D Bosons and 3-Jack polynomials. We associate three parameters $h_1,h_2,h_3…