Brane-induced supersymmetry breaking

TL;DR

The paper constructs a 5D supergravity framework on $S^1/Z_2$ with brane-localized superpotential vevs that spontaneously break the remaining $N=1$ supersymmetry in a nonlocal way, and shows this can be recast as a coordinate-dependent Scherk-Schwarz compactification with jumps at the orbifold fixed points. It provides a full analysis of the super-Higgs mechanism, derives the complete gravitino KK spectrum ${ m M}_{3/2}^{( ho)} = rac{ ho}{R} + rac{ heta_0+ heta_ extπ}{2oldsymbol{igl( ext{ } igl) }R}$, and demonstrates the equivalence to twisted boundary conditions in a generalized SS setup. The work connects brane-induced SUSY breaking to a four-dimensional no-scale effective theory at low energy and presents a finite one-loop radion potential that hints at radius dynamics, with implications for UV behavior and potential extensions involving warped backgrounds. Overall, it clarifies how nonlocal brane dynamics can realize controlled SUSY breaking with clear 4D phenomenology and UV structure insights.

Abstract

We study spontaneous supersymmetry breaking induced by brane-localized dynamics in five-dimensional supergravity compactified on S^1/Z_2. We consider a model with gravity in the bulk and matter localized on tensionless branes at the orbifold fixed points. We assume that the brane dynamics give rise to effective brane superpotentials that trigger the supersymmetry breaking. We analyze in detail the super-Higgs effect. We compute the full spectrum and show that the symmetry breaking is spontaneous but nonlocal in the fifth dimension. We demonstrate that the model can be interpreted as a new, non-trivial implementation of a coordinate-dependent Scherk-Schwarz compactification.