English

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

High Energy Physics - Theory 2015-09-03 v3 Mathematical Physics math.MP

Abstract

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 Wn\mathcal{W}_n algebra and Calogero-Sutherland model. As a generalization, we examine the Yangian associated with N=1\mathcal{N}=1 superconformal algebra which describes a supersymmetric extension of Calogero-Sutherland model and compare it with the literature.

Cite

@article{arxiv.1504.04150,
  title  = {Yangian associated with 2D $\mathcal{N}=1$ SCFT},
  author = {Rui-Dong Zhu and Yutaka Matsuo},
  journal= {arXiv preprint arXiv:1504.04150},
  year   = {2015}
}

Comments

24 pages; changed according to referee's comments in the latest version; submitted to PTEP

R2 v1 2026-06-22T09:17:05.625Z