Branes on the Brane

Abstract

We show that four-dimensional N=2 ungauged Einstein-Maxwell supergravity can be embedded on the Randall-Sundrum 3-brane, as a consistent Kaluza-Klein reduction of five-dimensional N=4 gauged supergravity. In particular, this allows us to describe four-dimensional Reissner-Nordstrom black holes within the Randall-Sundrum scenario. Using earlier results on the embedding of five-dimensional N=4 gauged supergravity in ten dimensions, we can then describe the four-dimensional Einstein-Maxwell supergravity on the 3-brane, and its solutions, from a type IIB viewpoint. We also show that the minimal ungauged supergravities in D=5 and D=6 can be consistently embedded in the half-maximally supersymmetric gauged supergravities in D=6 and D=7 respectively. These allow us to construct solutions including BPS black holes and strings living in "Randall-Sundrum 4-branes," and BPS self-dual strings living in "Randall-Sundrum 5-branes." We can also lift the embeddings to ten-dimensional massive type IIA and D=11 supergravity respectively. In particular, we obtain a solution describing the self-dual string living in the world-volume of an M5-brane, which can be viewed as an open membrane ending on the M5-brane.

Latex, 19 pages. Comments added and typos corrected

References in corpus (7)

• Brane-World Black Holes
• Consistency of the $Ad{S}_7\times S_4$ reduction and the origin of self-duality in odd dimensions
• Supergravity on the Brane
• Five-dimensional N=4, SU(2) X U(1) Gauged Supergravity from Type IIB
• Anti-deSitter Vacua of Gauged Supergravities with 8 Supercharges
• Supersymmetry and the Brane World
• Ricci-Flat Branes

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• New D=6, N=(1,1) Gauged Supergravity with Supersymmetric (Minkowski)_4 X S^2 Vacuum
• Einstein Brane-Worlds In 5D Gauged Supergravity
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• Supergravities on Branes
• Braneworlds and Dark Energy
• Brane World Black Rings
• Rotating Black Holes in Higher Dimensional Brane Worlds
• Covert Symmetry Breaking
• Exact multi-membrane solutions in AdS_7
• Observations on the Holographic Duals of 4-D Extremal Black Holes
• Bulk Fields in Delocalized Dilatonic p-Branes
• A Note About Localized Photons on the Brane