English

Integrable structure of $\textrm{BCD}$ conformal field theory and boundary Bethe ansatz for affine Yangian

High Energy Physics - Theory 2021-09-15 v1 Mathematical Physics math.MP

Abstract

In these notes we study integrable structures of conformal field theory with BCD\textrm{BCD} symmetry. We realise these integrable structures as affine Yangian gl(1)\mathfrak{gl}(1) "spin chains" with boundaries. We provide three solutions of Sklyanin KRKR\textrm{KRKR} equation compatible with affine Yangian RR-matrix and derive Bethe ansatz equations for the spectrum.

Keywords

Cite

@article{arxiv.2105.04018,
  title  = {Integrable structure of $\textrm{BCD}$ conformal field theory and boundary Bethe ansatz for affine Yangian},
  author = {Alexey Litvinov and Ilya Vilkoviskiy},
  journal= {arXiv preprint arXiv:2105.04018},
  year   = {2021}
}