On the vacua of N = 8 gauged supergravity in 4 dimensions

Abstract

We discuss a simple procedure for finding vacua of gauged supergravity models, based on the variation of the embedding tensor rather than on a direct minimization of the scalar potential. We apply this procedure to N=8 gauged supergravity in 4 dimensions. We easily recover many of the previously known vacua, also completing their scalar mass spectrum, and we apply our procedure to find a dozen of new analytical vacuum solutions. The analysis shows an interesting structure on the moduli spaces of these vacua and provides new criteria to determine the expected value of the cosmological constant by a simple inspection of the group properties of the embedding tensor.

33+1 pages, 4 figures. v2: Typos corrected. Added a subsection with an improved discussion of the spectra of the SO(6,2) and CSO(2,0,6) models

References in corpus (4)

• The maximal D=4 supergravities
• Charting the landscape of N=4 flux compactifications
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• New Supersymmetric and Stable, Non-Supersymmetric Phases in Supergravity and Holographic Field Theory

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