Are There Any New Vacua of Gauged N=8 Supergravity in Four Dimensions?

Abstract

We consider the most general SU(3) singlet space of gauged N=8 supergravity in four-dimensions. The SU(3)-invariant six scalar fields in the theory can be viewed in terms of six real four-forms. By exponentiating these four-forms, we eventually obtain the new scalar potential. For the two extreme limits, we reproduce the previous results found by Warner in 1983. In particular, for the N=1 G_2 critical point, we find the constraint surface parametrized by three scalar fields on which the cosmological constant has the same value. We obtain the BPS domain-wall solutions for restricted scalar submanifold. We also describe the three-dimensional mass-deformed superconformal Chern-Simons matter theory dual to the above supersymmetric flows in four-dimensions.

44p; the main text and appendices improved for compact presentation;the acknowledgments added and to appear in IJMPA

References in corpus (2)

• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• The Squashed, Stretched, and Warped Gets Perturbed

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