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

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

2011-12-14

arxiv.org/abs/1112.3345v2

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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