Boundary multi-trace deformations and OPEs in AdS/CFT correspondence

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, v2 refinements and acknowledgements added

Scientific paper

10.1088/1126-6708/2002/06/009

We argue that multi-trace deformations of the boundary CFT in AdS/CFT correspondence can arise through the OPE of single-trace operators. We work out the example of a scalar field in AdS_5 with cubic self interaction. By an appropriate reparametrization of the boundary data we are able to deform the boundary CFT by a marginal operator that couples to the conformal anomaly. Our method can be used in the analysis of multi-trace deformations in N=4 SYM where the OPEs of various single-trace operators are known.

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