Nonlinear realization of local symmetries of AdS space
Abstract
Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local symmetries of AdSd+1 space due to the embedding of an AdSd brane. The resulting action is an SO(2,d) invariant AdS form of the Einstein-Hilbert action, which in addition to the AdSd gravitational vielbein, also includes a massive vector field localized on the brane. Its long wavelength dynamics is the same as a massive Abelian vector field coupled to gravity in AdSd space.
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