Affine Yangian of $\mathfrak{gl}(2)$ and integrable structures of superconformal field theory

Abstract

This paper is devoted to study of integrable structures in superconformal field theory and more general coset CFT's related to the affine Yangian $\text{Y}(\widehat{\mathfrak{gl}}(2))$. We derive the relation between the RLL and current realizations and prove Bethe anzatz equations for the spectrum of Integrals of Motion.

References in corpus (3)

• Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity
• On spectrum of ILW hierarchy in conformal field theory II: coset CFT's
• Integrable structure of $\text{BCD}$ conformal field theory and boundary Bethe ansatz for affine Yangian

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