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A Note on Multi-trace Deformations and AdS/CFT
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✦ hep-th
keywords
boundaryanalysisaroundchangeclassicalconditionconditionsconstrained
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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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Cited by 1 Pith paper
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When AdS$_3$ Grows Hair: Boson Stars, Black Holes, and Double-Trace Deformations
In AdS3 gravity with double-trace scalar boundary conditions, zero-frequency boson stars are the true ground state below the instability threshold, and hairy black holes carry higher entropy than BTZ at fixed mass and...
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