Einstein Brane-Worlds In 5D Gauged Supergravity
A. H. Chamseddine, W. A. Sabra (CAMS)
TL;DR
This paper investigates curved domain wall solutions in five-dimensional N=2 gauged supergravity, deriving conditions for Einstein manifold worldvolumes and analyzing scalar flow equations to identify when such solutions exist.
Contribution
It introduces a framework for finding Einstein domain wall solutions in 5D gauged supergravity with specific Killing spinor projections, deriving first-order flow equations for scalars.
Findings
Derived first-order scalar flow equations for BPS solutions.
Identified conditions for Einstein domain wall solutions.
Analyzed equations of motion to determine solution existence.
Abstract
We study, in the context of five dimensional N=2 gauged supergravity with vector and hypermultiplets, curved domain wall solutions with worldvolumes given by four dimensional Einstein manifolds. For a choice of the projection condition on the Killing spinors of the BPS solutions, first order differential equations governing the flow of the scalars are derived. With these equations, we analyze the equations of motion and determine conditions under which gauged supergravity theories may admit Einstein domain wall solutions.
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