Solitons and Domain Walls in Odd Dimensions

Abstract

We discuss the existance of smooth soliton solutions which interpolate between supersymmetric vacua in odd-dimensional theories. In particular we apply this analysis to a wide class of supergravities to argue against the existence of smooth domain walls interpolating between supersymmetric vacua. We find that if the superpotential changes sign then any Goldstino modes will diverge.

13 pages. Substantially re-written including a more detailed discussion of fermion zero modes

References in corpus (5)

• Modeling the fifth dimension with scalars and gravity
• Supersymmetric Randall-Sundrum Scenario
• Supergravity on the Brane
• Anti-deSitter Vacua of Gauged Supergravities with 8 Supercharges
• Supersymmetric Multiple Basin Attractors

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