Double-trace deformations, holography and the c-conjecture

Abstract

A double-trace deformation is the simplest perturbation of a conformal field theory that has a gravity dual. In this paper we review the existing results for the case in which the deformation is composed from a scalar operator, and extend them to the case of a spinor operator. In particular we check the validity of the c-conjecture along the RG flow induced by the deformation, using both Cardy's c-function and the recent proposal by Myers and Sinha of a c-function from entanglement entropy.

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• AdS Description of Induced Higher-Spin Gauge Theory
• A Holographic Flat Band
• Fermions in AdS and Gross-Neveu BCFT
• On Marginal Operators in Boundary Conformal Field Theory
• Flowing Between Fermionic Fixed Points
• Holographic Wilsonian flows and emergent fermions in extremal charged black holes
• A Gapless Hard Wall: Magnetic Catalysis in Bulk and Boundary
• Unitarity bounds and RG flows in time dependent quantum field theory
• Boundaries in Free Higher Derivative Conformal Field Theories
• AdS/CFT in Fractional Dimension and Higher Spin Gravity at One Loop
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• Interpolating between $a$ and $F$
• Double-trace deformation in Keldysh field theory
• "Old" Conformal Bootstrap on AdS: $O(N)$ symmetric scalar model
• Scalar and Spinor Effective Actions in Global de Sitter
• UV-finite "old" conformal bootstrap on AdS: scalar case
• Spinor vertexes and bubbles in the "old" conformal bootstrap on AdS and FMH problem: Yukawa model