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We consider the stability of non-supersymmetric critical points of general N=4 supergravities.
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C. M. Hull and N. P. Warner, The potentials of the gauged N=8 supergravity theories
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M. de Roo, D. B. Westra and S. Panda, De Sitter solutions in N = 4 matter coupled supergravity
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B. de Wit, H. Samtleben and M. Trigiante, On Lagrangians and gaugings of maximal supergravities
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A. Van Proeyen, Supergravity with Fayet-Iliopoulos terms and R-symmetry
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J. Schon and M. Weidner, Gauged N = 4 supergravities
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M. Gomez-Reino and C. A. Scrucca, Locally stable non-supersymmetric Minkowski vacua in supergravity
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H. Nicolai, Representations of supersymmetry in Anti-de Sitter space
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M. Gomez-Reino, J. Louis and C. A. Scrucca, No metastable de Sitter vacua in N=2 supergravity with only hypermultiplets
2009
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E. A. Bergshoeff, M. de Roo, O. Hohm and D. Roest, Multiple Membranes from Gauged Supergravity
2009
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D. Roest and J. Rosseel, De Sitter in Extended Supergravity
2010
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N. P. Warner, Some new extrema of the scalar potential of gauged N=8 supergravity
2010
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J. Louis, P. Smyth and H. Triendl, Spontaneous N=2 to N=1 Supersymmetry Breaking in Supergravity and Type II String Theory
2010
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J.-C. Jacot and C. A. Scrucca, Metastable supersymmetry breaking in N=2 non-linear sigma- models
2010
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T. Fischbacher, K. Pilch and N. P. Warner, New Supersymmetric and Stable, Non-Supersymmetric Phases in Supergravity and Holographic Field Theory
Cited in the paper.
S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces
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