Boundary conditions and dualities: vector fields in AdS/CFT | Zendy

Donald Marolf | Zendy; Simon F. Ross | Zendy

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Boundary conditions and dualities: vector fields in AdS/CFT

Author(s) -

Donald Marolf,

Simon F. Ross

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/11/085

Subject(s) - physics , scalar (mathematics) , gauge theory , tensor field , trace (psycholinguistics) , duality (order theory) , spacetime , boundary (topology) , boundary value problem , context (archaeology) , string theory , mathematical physics , theoretical physics , mathematics , quantum mechanics , geometry , mathematical analysis , exact solutions in general relativity , linguistics , philosophy , discrete mathematics , paleontology , biology

In AdS, scalar fields with masses slightly above the Breitenlohner-Freedmanbound admit a variety of possible boundary conditions which are reflected inthe Lagrangian of the dual field theory. Generic small changes in the AdSboundary conditions correspond to deformations of the dual field theory bymulti-trace operators. Here we extend this discussion to the case of vectorgauge fields in the bulk spacetime using the results of Ishibashi and Wald[hep-th/0402184]. As in the context of scalar fields, general boundaryconditions for vector fields involve multi-trace deformations which lead torenormalization-group flows. Such flows originate in ultra-violet CFTs whichgive new gauge/gravity dualities. At least for AdS4/CFT3, the dual of the bulkphoton appears to be a propagating gauge field instead of the usual R-chargecurrent. Applying similar reasoning to tensor fields suggests the existence ofa duality between string theory on AdS4 and a quantum gravity theory in threedimensions.Comment: 26 pages, significant references adde

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