Recently, Maulik and Okounkov proposed an integrable lattice model where the degree of freedom at each site is identical to the Hilbert space of free boson in two dimensions. We give a brief review of their construction and explain the relation with $\mathcal{ W}_n$ algebra and Calogero-Sutherland model. As a generalization, we examine the Yangian associated with $\mathcal{ N}=1$ superconformal algebra which describes a supersymmetric extension of Calogero-Sutherland model and compare it with the literature.

Categories: hep-th math-ph math.MP

Yangian associated with 2D $\mathcal{N}=1$ SCFT