Infinite-dimensional fermionic symmetry in supersymmetric gauge theories
Thomas T. Dumitrescu, Temple He, Prahar Mitra, Andrew Strominger
Abstract
A bstract We establish the existence of an infinite-dimensional fermionic symmetry in four-dimensional supersymmetric gauge theories by analyzing semiclassical photino dynamics in abelian $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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 $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 supermultiplet as the physically non-trivial large gauge symmetries associated with the soft photon theorem.