Setting the boundary free in AdS/CFT

Abstract

We describe a new class of boundary conditions for AdS_{d+1} under which the boundary metric becomes a dynamical field. The key technical point is to show that contributions from boundary counter-terms in the bulk gravitational action render such fluctuations normalizable. In the context of AdS/CFT, the analogue of Neumann boundary conditions for AdS promotes the CFT metric to a dynamical field but adds no explicit gravitational dynamics; the gravitational dynamics is just that induced by the conformal fields. Other AdS boundary conditions couple the CFT to a gravity theory of choice. We use this correspondence to briefly explore the coupled CFT + gravity theories and, in particular, for d=3 we show that coupling topologically massive gravity to a large N CFT preserves the perturbative stability of the theory with negative (3-dimensional) Newton's constant.

21 pages + 14 pages app, add comments on susy and EM duality, add ref

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• Surface charge algebra in gauge theories and thermodynamic integrability
• Symmetries and conservation laws in Lagrangian gauge theories with applications to the mechanics of black holes and to gravity in three dimensions
• Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions
• Gravitational Duality Transformations on (A)dS4
• General relativity with a topological phase: an action principle
• Asymptotic generators of fermionic charges and boundary conditions preserving supersymmetry
• Holographic Aspects of Electric-Magnetic Dualities

Cited by in corpus (12)

• No Dynamics in the Extremal Kerr Throat
• Dyonic AdS black holes from magnetohydrodynamics
• Canonical analysis of cosmological topologically massive gravity at the chiral point
• Dual Gravitons in AdS4/CFT3 and the Holographic Cotton Tensor
• Energy-momentum/Cotton tensor duality for AdS4 black holes
• Gravity in the 3+1-Split Formalism II: Self-Duality and the Emergence of the Gravitational Chern-Simons in the Boundary
• Gravity in the 3+1-Split Formalism I: Holography as an Initial Value Problem
• Holographic Thought Experiments
• Supersymmetric Multi-trace Boundary Conditions in AdS
• Black Hole Final State Conspiracies
• Supergravity at the boundary of AdS supergravity
• Dual photons and gravitons