A Note on Multi-trace Deformations and AdS/CFT

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, 1 figure, harvmac. v2 typos corrected, version sent to JHEP. v3 references added

Scientific paper

10.1088/1126-6708/2002/07/027

We derive the general formula, at a finite cutoff, for the change in the
boundary condition of a scalar field in AdS under a Multiple-trace deformation
of the dual CFT. Our analysis suggests that fluctuations around the classical
solution in AdS should not be constrained by boundary conditions.

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