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arXiv · 2105.04018

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

Alexey Litvinov·Ilya Vilkoviskiy
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Abstract

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

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Alexey Litvinov, Ilya Vilkoviskiy. 2021-05-09. Integrable structure of $\textrm{BCD}$ conformal field theory and boundary Bethe ansatz for affine Yangian. https://doi.org/10.1007/jhep08(2021)141

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