Superspin chains and supersymmetric gauge theories

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 Out Of Balance Switch Bracket 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 Canopy N $$ mathcal{N} $$ = 4 planar super-Yang-Mills theory in four dimensions.