Ghost-Free de Sitter Supergravities as Consistent Reductions of String and M-theory

Abstract

We study properties of supergravity theories with non-compact gaugings, and their higher-dimensional interpretations via consistent reductions on the inhomogeneous non-compact hyperboloidal spaces {\cal H}^{p,q}. The gauged supergravities are free of ghosts, despite the non-compactness of the gauge groups. We give a general discussion of the existence of stationary points in the scalar potentials of such supergravities. These are of interest since they can be associated with de Sitter vacuum configurations. We give explicit results for consistent reductions on {\cal H}^{p,q} in various examples, derived from analytic continuation of previously-known consistent sphere reductions. In addition we also consider black hole and cosmological solutions, for specific examples of non-compact gaugings in D=4,5,7.

Latex, 35 pages

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• Uplifting non-compact gauged supergravities
• Scaling Cosmologies of N=8 Gauged Supergravity
• Ultracold horizons in gauged N=1 d=4 supergravity
• Options for Orbifold-GUT Model Building from Five-Dimensional Supergravity
• Power-law Solutions from Heterotic Strings
• Features of deSitter Vacua in M-Theory
• Power-law cosmologies in minimal and maximal gauged supergravity