Gravitational Lorentz Violation and Superluminality via AdS/CFT Duality

Abstract

A weak quantum mechanical coupling is constructed permitting superluminal communication within a preferred region of a gravitating AdS_5 spacetime. This is achieved by adding a spatially non-local perturbation of a special kind to the Hamiltonian of a four-dimensional conformal field theory with a weakly-coupled AdS dual, such as maximally supersymmetric Yang-Mills theory. In particular, two issues are given careful treatment: (1) the UV-completeness of our deformed CFT, guaranteeing the existence of a ``deformed string theory'' AdS dual, and (2) the demonstration that superluminal effects can take place in AdS, both on its boundary as well as in the bulk. Exotic Lorentz-violating properties such as these may have implications for tests of General Relativity, addressing the cosmological constant problem, or probing "behind'' horizons. Our construction may give insight into the interpretation of wormhole solutions in Euclidean AdS gravity.

23 pages LaTex. Typo in Eq. (37) corrected. References added

References in corpus (43)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• AdS/CFT Correspondence and Symmetry Breaking
• Gravity, Lorentz Violation, and the Standard Model
• Causality, Analyticity and an IR Obstruction to UV Completion
• Gravity with a dynamical preferred frame
• Ghost Condensation and a Consistent Infrared Modification of Gravity
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• Holographic Probes of Anti-de Sitter Spacetimes
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Wormholes in AdS
• Large N Limit of Non-Commutative Gauge Theories
• Einstein-Aether Waves
• Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence
• Lorentz-Violating Vector Fields Slow the Universe Down
• Observables in effective gravity
• "Double-trace" Deformations, Boundary Conditions and Spacetime Singularities
• Constraining the New Aether: Gravitational Cherenkov Radiation
• Supersymmetry on a Spatial Lattice
• Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
• Multiple-Trace Operators and Non-Local String Theories
• Euclidean Wormholes in String Theory
• Can We See Lorentz-Violating Vector Fields in the CMB?
• Nonlocal Field Theories and their Gravity Duals
• Static post-Newtonian equivalence of GR and gravity with a dynamical preferred frame
• Lorentz violation and perpetual motion
• The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
• Modified Gravity via Spontaneous Symmetry Breaking
• Escaping from the black hole?
• Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals
• Generally covariant model of a scalar field with high frequency dispersion and the cosmological horizon problem
• A Symmetry for the Cosmological Constant
• Spontaneous Lorentz Violation and the Long-Range Gravitational Preferred-Frame Effect
• On the Thermodynamics of Large N Noncommutative Super Yang-Mills Theory
• Multi-Trace Operators and the Generalized AdS/CFT Prescription
• Non-Local Effects of Multi-Trace Deformations in the AdS/CFT Correspondence
• Bumpy black holes from spontaneous Lorentz violation
• Non-Supersymmetric Theories with Light Scalar Fields and Large Hierarchies
• Holography Principle and Topology Change in String Theory
• Aspects of Puff Field Theory
• Positive Mass from Holographic Causality
• Lattice Gauge Theories Have Gravitational Duals

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• Dispersion relation and surface gravity of universal horizons
• Energy Positivity, Non-Renormalization, and Holomorphy in Lorentz-Violating Supersymmetric Theories