A Note on Multi-trace Deformations and AdS/CFT

Abstract

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.

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

References in corpus (5)

• "Double-trace" Deformations, Boundary Conditions and Spacetime Singularities
• Multiple-Trace Operators and Non-Local String Theories
• An improved correspondence formula for AdS/CFT with multi-trace operators
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