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

Abstract

A bstract 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( $$ \hat{\mathfrak{gl}} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>gl</mml:mi> <mml:mo>̂</mml:mo> </mml:mover> </mml:math> (2)). We derive the relation between the RLL and current realizations and prove Bethe anzatz equations for the spectrum of Integrals of Motion.

Topics & Concepts