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

Published 12 Oct 2021 in hep-th, math-ph, and math.MP | (2110.05870v1)

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 $\textrm{Y}\big(\widehat{\mathfrak{gl}}(2)\big)$. We derive the relation between the RLL and current realizations and prove Bethe anzatz equations for the spectrum of Integrals of Motion.

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