Non-BPS Branes of Supersymmetric Brane Worlds

TL;DR

This paper explores supersymmetry breaking mechanisms in five-dimensional brane world models with N=2 gauged supergravity, analyzing various boundary conditions and gravitino variations to find stable and dynamic brane configurations.

Contribution

It introduces new supersymmetry breaking methods via boundary conditions and gravitino modifications, leading to novel brane solutions including tilted, stabilized, and moving branes with horizons.

Findings

Tilted branes from even gravitino variation

AdS_4 branes with stabilized radion from flipped boundary conditions

Moving branes separated by a horizon with temperature-mediated supersymmetry breaking

Abstract

We consider five-dimensional brane worlds with N=2 gauged supergravity in the bulk coupled supersymmetrically to two boundary branes at the fixed points of a Z_2 symmetry. We analyse two mechanisms that break supersymmetry either by choosing flipped fermionic boundary conditions on the boundary branes or by modifying the gravitino variation to include both Z_2-odd and Z_2-even operators. In all cases we find the corresponding background. Including an even part in the gravitino variation leads to tilted branes. Choosing the flipped boundary conditions leads to AdS_4 branes and stabilized radion in the detuned case, when the expectation value of the even variation is nonzero. Another solution has the interpretation of moving AdS_4 branes separated by a horizon. The solution with moving branes separated by a horizon can be extended to the tuned case. In the presence of a horizon, temperature mediation communicates supersymmetry breakdown to the branes.