Integrable structure of BCD conformal field theory and boundary Bethe ansatz for affine Yangian

Abstract

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

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