Nonlinear Realization of Supersymmetric AdS Space Isometries

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages

Scientific paper

10.1103/PhysRevD.73.025001

The isometries of $AdS_5$ space and supersymmetric $AdS_5\otimes S_1$ 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 $AdS_5$ space is found to be unstable and the bulk of the $AdS_5$ space is unable to sustain the brane. No such instablility appears in the non-supersymmetric case.

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