Infinite-dimensional fermionic symmetry in supersymmetric gauge theories

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 S-2 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.

Automated summary

By analyzing semiclassical photino dynamics in abelian N = 1 theories with charged matter, we establish the existence of an infinite-dimensional fermionic symmetry in four-dimensional supersymmetric gauge theories. This symmetry, parametrized by a spinor-valued function on an asymptotic S-2 at null infinity, is not manifest at the level of the Lagrangian but acts non-trivially on physical states. The Ward identity of this symmetry is the soft photino theorem and it resides in the same N = 1 supermultiplet as the physically non-trivial large gauge symmetries associated with the soft photon theorem.