Gravitational Effects in Supersymmetric Domain Wall Backgrounds

TL;DR

This paper classifies supersymmetric domain walls in N=1 supergravity, analyzing their gravitational effects, particle motion, and introducing a new coordinate system for AdS space, revealing their repulsive nature from the AdS side.

Contribution

It introduces a new classification of supersymmetric domain walls and a novel coordinate system for AdS space, enhancing understanding of their gravitational properties.

Findings

Domain walls are always repulsive from the AdS side.

Test particles in AdS experience constant proper acceleration.

A new coordinate system simplifies AdS space analysis.

Abstract

A recent study of supersymmetric domain walls in $N=1$ supergravity theories revealed a new class of domain walls interpolating between supersymmetric vacua with different non-positive cosmological constants. We classify three classes of domain wall configurations and study the geodesic structure of the induced space-time. Motion of massive test particles in such space-times shows that these walls are always repulsive from the anti-deSitter (AdS) side, while on the Minkowski side test particles feel no force. Freely falling particles far away from a wall in an AdS vacuum experience a constant proper acceleration, \ie\ they are Rindler particles. A new coordinate system for discussing AdS space-time is presented which eliminates the use of a periodic time-like coordinate.