Gravitino in six-dimensional warped supergravity

TL;DR

This paper analyzes the spectrum of gravitino fields in a six-dimensional warped supergravity model, revealing how brane tensions and gauge flux influence massless modes and their wave functions, with implications for supersymmetry breaking.

Contribution

It provides an explicit calculation of the gravitino spectrum and wave functions in a warped six-dimensional supergravity, including effects of brane tensions and fluxes.

Findings

Massless gravitino modes can exist despite explicit supersymmetry breaking.

The wave function of the zero-mode gravitino can be delocalized due to gauge flux.

Introducing a gravitino mass term on a brane can suppress the effective gravitino mass.

Abstract

We consider the gravitino spectrum for the general warped solution in a specific six-dimensional gauged supergravity. We find that although the brane tensions introduced at the conical singularities break the bulk supersymmetry explicitly, massless modes of gravitino can exist with a nontrivial wave function profile, due to a nonzero U(1)_R gauge flux. We also compute the wave function and the mass spectrum of Kaluza-Klein massive modes of the gravitino explicitly. We show that the introduction of a gravitino mass term on a regularized brane can give a suppressed effective gravitino mass compared to the compactification scale, due to the delocalization of the wave function of the zero-mode gravitino.