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arXiv · hep-th/0001159

Anti-deSitter Vacua of Gauged Supergravities with 8 Supercharges

Klaus Behrndt·Mirjam Cvetic
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Abstract

We investigate supersymmetric extrema of Abelian gauged supergravity theories with non-trivial vector multiplets and 8 supercharges in four and five dimensions. The scalar fields of these models parameterize a manifold consisting of disconnected branches and restricting to the case where this manifold has a non-singular metric we show that on every branch there can be at most one extremum, which is a local maximum (for W>0) or a minimum (for W<0) of the superpotential W. Therefore, these supergravity models do not allow for regular domain wall solutions interpolating between different extrema of the superpotential and the space-time transverse to the wall asymptotically always approaches the boundary of AdS (UV-fixed points in a dual field theory).

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Klaus Behrndt, Mirjam Cvetic. 2000-01-24. Anti-deSitter Vacua of Gauged Supergravities with 8 Supercharges. https://doi.org/10.1103/physrevd.61.101901

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