Asymptotic Fermionic Symmetry From Soft Gravitino Theorem

TL;DR

The paper investigates how soft gravitino emissions in massless matter–Rarita–Schwinger systems in four-dimensional Minkowski space can be recast as Ward identities, revealing an infinite-dimensional fermionic asymptotic symmetry. By constructing explicit hard and soft charges and analyzing their action on I^± data, the authors demonstrate that these charges generate local supersymmetry transformations on matter and shift gravitino zero modes, with a diagonal matching across spatial infinity. The work extends the soft theorem–as–asymptotic-symmetry program to fermionic sectors, showing how a gravitino’s soft data encode a Virasoro-like, infinite-dimensional fermionic symmetry and proposing its potential generalization to higher dimensions. These results enrich the understanding of infrared structure in supergravity and hint at memory effects tied to fermionic asymptotic data.

Abstract

We discuss the semiclassical scattering problem for massless matter coupled to Rarita-Schwinger field in four dimensional Minkowski space. We rewrite the soft gravitino theorem as a Ward identity for the S-matrix and discuss the relationship of corresponding symmetry charges to new asymptotic fermonic symmetries of massless Rarita-Schwinger field.