Infinite-Dimensional Fermionic Symmetry in Supersymmetric Gauge Theories

Abstract

We establish the existence of an infinite-dimensional fermionic symmetry in four-dimensional supersymmetric gauge theories by analyzing semiclassical photino dynamics in abelian $\mathcal{N}=1$ 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 $\mathcal{N}=1$ supermultiplet as the physically non-trivial large gauge symmetries associated with the soft photon theorem.

40 pages

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