Domain Walls from Anti-de Sitter Spacetime

TL;DR

This paper classifies supergravity $(D-2)$-brane solutions, highlighting a special case where the metric describes anti-de Sitter spacetime, and explores how supersymmetry is affected by dimensional reduction.

Contribution

It identifies four categories of brane solutions based on dilaton coupling and analyzes the unique anti-de Sitter case with supersymmetry considerations during dimensional reduction.

Findings

Four categories of $(D-2)$-brane solutions based on dilaton coupling.

The anti-de Sitter solution exhibits partial supersymmetry breaking upon reduction.

Dimensional reduction from AdS to domain wall alters supersymmetry properties.

Abstract

We examine $(D-2)$-brane solutions in supergravities, showing that they fall into four categories depending on the details of the dilaton coupling. In general they describe domain walls, although in one of the four categories the metric describes anti-de Sitter spacetime. We study this case, and its $S^1$ dimensional reduction to a more conventional domain wall in detail, focussing in particular on the manner in which the unbroken supersymmetry of the anti-de Sitter solution is partially broken by the dimensional reduction to the domain wall.