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

Abstract

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

Keywords

• Conformal and W Symmetry
• Conformal Field Theory
• Bethe Ansatz