Anti-de Sitter vacua of gauged supergravities with eight supercharges

Jan, 2000
9 pages
Published in:
  • Phys.Rev.D 61 (2000) 101901
e-Print:
Report number:
  • UPR-868-T,
  • CALT-68-2259,
  • CITUSC-00-007

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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).
  • supergravity
  • gauge field theory: abelian
  • multiplet: vector
  • supersymmetry
  • charge
  • dimension: 4
  • dimension: 5
  • field theory: scalar
  • space-time: anti-de Sitter
  • domain wall