Nonlinear Realization of Supersymmetric AdS Space Isometries
Abstract
The isometries of AdS5 space and supersymmetric AdS5 S1 space are nonlinearly realized on four dimensional Minkowski space. The resultant effective actions in terms of the Nambu-Goldstone modes are constructed. The dilatonic mode governing the motion of the Minkowski space probe brane into the covolume of supersymmetric AdS5 space is found to be unstable and the bulk of the AdS5 space is unable to sustain the brane. No such instablility appears in the non-supersymmetric case.
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