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.

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• A Note on Quiver Yangians and $\mathcal{R}$-Matrices
• Simple Representations of BPS Algebras: the case of $Y({\widehat{\mathfrak{gl}}}_2)$
• Gauge origami and quiver W-algebras
• BPS States Meet Generalized Cohomology
• More on Affine Dynkin Quiver Yangians
• Quiver Yangians and $\mathcal{W}$-Algebras for Generalized Conifolds
• Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues
• Towards the theory of Yangians
• Supersymmetric polynomials and algebro-combinatorial duality
• An Overview of Crystals and Double Quiver Yangians
• The ODE/IM Correspondence between $C(2{)}^{(2)}$-type Linear Problems and 2d $\mathcal{N}=1$ SCFT