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Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence

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arxiv hep-th/0112258 v3 pith:HMYA6H7I submitted 2001-12-31 hep-th

classification hep-th
keywords boundaryfieldtheoryconditioncorrespondencefieldsmulti-traceappropriate
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We argue that multi-trace interactions in quantum field theory on the boundary of AdS space can be incorporated in the AdS/CFT correspondence by using a more general boundary condition for the bulk fields than has been considered hitherto. We illustrate the procedure for a renormalizable four-dimensional field theory with a $(\Tr \Phi^2)^2$ interaction. In this example, we show how the AdS fields with the appropriate boundary condition reproduce the renormalization group effects found in the boundary field theory. We also construct in related examples a line of fixed points with a nonperturbative duality, and a flow between two methods of quantization.

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