Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-01-24
Phys.Rev.D61:101901,2000
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, Latex, 2 figures
Scientific paper
10.1103/PhysRevD.61.101901
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).
Behrndt Klaus
Cvetic Mirjam
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