Supergravity on the Brane
arXiv:hep-th/9909130 · doi:10.1103/PhysRevLett.84.1090
Abstract
We show that smooth domain wall spacetimes supported by a scalar field separating two anti-de-Sitter like regions admit a single graviton bound state. Our analysis yields a fully non-linear supergravity treatment of the Randall-Sundrum model. Our solutions describe a pp-wave propagating in the domain wall background spacetime. If the latter is BPS, our solutions retain some supersymmetry. Nevertheless, the Kaluza-Klein modes generate ``pp curvature'' singularities in the bulk located where the horizon of AdS would ordinarily be.
4 pages REVTeX, version to appear in Physical Review Letters
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