Supersymmetric domain wall world from D = 5 simple gauged supergravity

Behrndt, Klaus; Cvetic, Mirjam

doi:10.1016/S0370-2693(00)00095-2

Supersymmetric domain wall world from D = 5 simple gauged supergravity

Klaus Behrndt
(
- Caltech
)
,
Mirjam Cvetic
(
- Pennsylvania U. and
- Santa Barbara, KITP
)

Sep, 1999

12 pages

Published in:

Phys.Lett.B 475 (2000) 253-260

e-Print:

hep-th/9909058 [hep-th]

DOI:

10.1016/S0370-2693(00)00095-2

Report number:

UPR-857-T,
NSF-ITP-99-107,
CALT-68-2240

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Abstract:

We address a supersymmetric embedding of domain walls with asymptotically anti-deSitter (AdS) space-times in five-dimensional simple, N=2 U(1) gauged supergravity theory constructed by Gunaydin, Townsend and Sierra. These conformally flat solutions interpolate between supersymmetric AdS vacua, satisfy the Killing spinor (first order) differential equations, and the four-dimensional world on the domain wall is a flat world with N=1 supersymmetry. Regular solutions in this class have the energy density related to the cosmological constants of the supersymmetric AdS vacua. An analysis of such solutions is given for the example of one (real, neutral) vector supermultiplet with the most general form of the prepotential. There are at most two supersymmetric AdS vacua that are in general separated by a singularity in the potential. Nevertheless the supersymmetric domain wall solution exists with the scalar field interpolating continuously across the singular region.

supergravity
dimension: 5
domain wall: BPS
supersymmetry
field theory: scalar

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