Infinite-Dimensional Fermionic Symmetry in Supersymmetric Gauge Theories

TL;DR

This paper uncovers an infinite-dimensional fermionic symmetry in 4D supersymmetric gauge theories, linked to soft photino theorems, expanding understanding of asymptotic symmetries in quantum field theory.

Contribution

It demonstrates the existence of a novel fermionic asymptotic symmetry in supersymmetric gauge theories, connecting soft photino theorems with large gauge symmetries.

Findings

Identifies a fermionic symmetry parametrized by functions on asymptotic $S^2$

Shows the symmetry acts non-trivially on physical states

Relates the symmetry to the soft photino theorem

Abstract

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