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Boundary Conditions and Dualities: Vector Fields in AdS/CFT

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arxiv hep-th/0606113 v3 pith:SMMWB66M submitted 2006-06-13 hep-th gr-qc

classification hep-thgr-qc
keywords fieldsboundaryconditionstheorydualfieldgaugevector
verification ladder T0 review T1 audit T2 compute T3 formal

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In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary conditions correspond to deformations of the dual field theory by multi-trace operators. Here we extend this discussion to the case of vector gauge fields in the bulk spacetime using the results of Ishibashi and Wald [hep-th/0402184]. As in the context of scalar fields, general boundary conditions for vector fields involve multi-trace deformations which lead to renormalization-group flows. Such flows originate in ultra-violet CFTs which give new gauge/gravity dualities. At least for AdS4/CFT3, the dual of the bulk photon appears to be a propagating gauge field instead of the usual R-charge current. Applying similar reasoning to tensor fields suggests the existence of a duality between string theory on AdS4 and a quantum gravity theory in three dimensions.

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Cited by 7 Pith papers

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