English

R-matrix formulation of affine Yangian of $\hat{\mathfrak{gl}}(1|1)$

High Energy Physics - Theory 2022-12-14 v2 Mathematical Physics math.MP

Abstract

We study N=2\mathcal{N}=2 superconformal field theory and define the R-matrix which acts as an intertwining operator between different realizations of N=2\mathcal{N}=2 WW-algebras of type AA. Using this R-matrix we define RLLRLL algebra and relate it to current realization of affine Yangian of gl^(11)\hat{\mathfrak{gl}}(1|1).

Keywords

Cite

@article{arxiv.2206.01636,
  title  = {R-matrix formulation of affine Yangian of $\hat{\mathfrak{gl}}(1|1)$},
  author = {Dmitry Kolyaskin and Alexey Litvinov and Arkady Zhukov},
  journal= {arXiv preprint arXiv:2206.01636},
  year   = {2022}
}