Superspin chains and supersymmetric gauge theories

Abstract

Abstract We discuss the possible extensions of Bethe/gauge correspondence to quantum integrable systems based on the super-Lie algebras of A type. Along the way we propose the analogues of Nakajima quiver varieties whose cohomology and K-theory should carry the representations of the corresponding Yangian and the quantum affine algebras, respectively. We end up with comments on the N $$ \mathcal{N} $$ = 4 planar super-Yang-Mills theory in four dimensions.

Keywords

• Bethe Ansatz
• Supersymmetric Gauge Theory
• Supersymmetry and Duality
• Topological Field Theories