Infinite-dimensional fermionic symmetry in supersymmetric gauge theories

Abstract

Abstract: We establish the existence of an infinite-dimensional fermionic symmetry in four-dimensional supersymmetric gauge theories by analyzing semiclassical photino dynamics in abelian N = 1 theories with charged matter. The symmetry is parametrized by a spinor-valued function on an asymptotic S2 at null infinity. It is not manifest at the level of the Lagrangian, but acts non-trivially on physical states, and its Ward identity is the soft photino theorem. The infinite-dimensional fermionic symmetry resides in the same N = 1 supermultiplet as the physically non-trivial large gauge symmetries associated with the soft photon theorem.