Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT

Abstract

In this note we discuss the relation between the constraints imposed by causality in the bulk of $AdS$ and the condition of positivity of the energy measured in ideal calorimeters in a collider experiment in the dual CFT. We first extend the analysis in the literature and recover all bounds imposed by causality of the boundary theory in the bulk dynamics for all polarizations of the graviton and the gauge boson field. These results translate to specific bounds for the ratio of central charges $\frac{a}{c}$ in the dual CFT, already found by analyzing the energy one point function. Then, we generalize this discussion and we study shock wave backgrounds in which we make manifest the relation between causality in the bulk and the three point function in the dual field theory. We remark that particular care has to be given to the exponentiation procedure of the three point function when solving the classical equations of motion in the higher gravity theory, as it is not clear that every theory will present causality problems. Finally, we present a field theoretic argument explaining the positivity of energy condition in any UV complete QFT.

arXiv comment31 pages, 3 figures; v2: references added

References in corpus (19)

• Gauge Theory Correlators from Non-Critical String Theory
• An Alternative to Compactification
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Echoes of a Hidden Valley at Hadron Colliders
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Conformal collider physics: Energy and charge correlations
• Unparticle Physics
• Holography and hydrodynamics: diffusion on stretched horizons
• Viscosity Bound Violation in Higher Derivative Gravity
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Viscosity Bound and Causality Violation
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Beyond eta/s = 1/4pi
• Comments on Unparticles
• Causality of Holographic Hydrodynamics
• Central charges of N=2 superconformal field theories in four dimensions
• Black Holes, Shock Waves, and Causality in the AdS/CFT Correspondence
• On the conformal anomaly from higher derivative gravity in AdS/CFT correspondence
• Weyl corrections to holographic conductivity

Cited by in corpus (176)

• Holographic c-theorems in arbitrary dimensions
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• On graviton non-Gaussianities during inflation
• Holographic GB gravity in arbitrary dimensions
• Black Holes in Quasi-topological Gravity
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Emergent Spacetime and Holographic CFTs
• Holographic Calculations of Renyi Entropy
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Causality Constraints in Conformal Field Theory
• Averaged Null Energy Condition from Causality
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition
• Proof of the Quantum Null Energy Condition
• Holographic studies of quasi-topological gravity
• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Holographic Entanglement Entropy in Lovelock Gravities
• The Lovelock Black Holes
• Causality of Holographic Hydrodynamics
• Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
• Comments on Holographic Entanglement Entropy and RG Flows
• AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
• A Proof of the Conformal Collider Bounds
• From correlation functions to event shapes
• Holographic Lovelock Gravities and Black Holes
• The Shear Viscosity to Entropy Ratio: A Status Report
• Holographic p-wave superconductors from Gauss-Bonnet gravity
• Generalized quasi-topological gravity
• A General Proof of the Quantum Null Energy Condition
• Black holes in Einsteinian cubic gravity
• Causality in AdS/CFT and Lovelock theory
• Holographic Quantum Critical Transport without Self-Duality
• Shadows, Signals, and Stability in Einsteinian Cubic Gravity
• Black Holes in (Quartic) Quasitopological Gravity
• Analytical study on holographic superconductors in external magnetic field
• An upper bound on transport
• Holographic Holes in Higher Dimensions
• AdS Bulk Locality from Sharp CFT Bounds
• Shocks, Superconvergence, and a Stringy Equivalence Principle
• Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
• Causality and Hyperbolicity of Lovelock Theories
• Conformal Collider Physics from the Lightcone Bootstrap
• Quintessential Quartic Quasi-topological Quartet
• Entanglement Entropy for Singular Surfaces
• Goldstone modes and photonization for higher form symmetries
• Beyond $a=c$: Gravitational Couplings to Matter and the Stress Tensor OPE
• Lovelock theories, holography and the fate of the viscosity bound
• Complexity Growth Rate in Lovelock Gravity
• A Lovelock black hole bestiary
• The viscosity bound in string theory
• On Spacetime Entanglement
• Holographic studies of Einsteinian cubic gravity
• Thermodynamics of hairy black holes in Lovelock gravity
• Quantum corrections to thermodynamics of quasitopological black holes
• Mass and Free Energy of Lovelock Black Holes
• Holographic Phase Transitions of P-wave Superconductors in Gauss-Bonnet Gravity with Back-reaction
• Shape Dependence of Holographic Rényi Entropy in General Dimensions
• A holographic proof of the averaged null energy condition
• A New Spin on Causality Constraints
• Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography
• Lovelock theory and the AdS/CFT correspondence
• Time Dependence of Holographic Complexity in Gauss-Bonnet Gravity
• On the Null Energy Condition and Causality in Lifshitz Holography
• The holographic entropy increases in quadratic curvature gravity
• A Conformal Collider for Holographic CFTs
• Conformal Field Theories and Deep Inelastic Scattering
• Massive and Massless Spin-2 Scattering and Asymptotic Superluminality
• Einstein gravity from ANEC correlators
• On Conformal Field Theories With Extremal a/c Values
• Note on Entanglement Temperature for Low Thermal Excited States in Higher Derivative Gravity
• Hairy black holes in cubic quasi-topological gravity
• NUTs and bolts beyond Lovelock
• Analytical study on holographic superconductors for Born-Infeld electrodynamics in Gauss-Bonnet gravity with backreactions
• Constraining gravity using entanglement in AdS/CFT
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Energy Flux Positivity and Unitarity in CFTs
• Conformal 3-point functions and the Lorentzian OPE in momentum space
• Higher Derivative Corrections to R-charged Black Holes: Boundary Counterterms and the Mass-Charge Relation
• Dynamical Constraints on RG Flows and Cosmology
• Viscosity Bound and Causality in Superfluid Plasma
• Quantum critical charge response from higher derivatives: is more different?
• Gauss-Bonnet correction to Holographic thermalization: two-point functions, circular Wilson loops and entanglement entropy
• A Lower Bound on the Energy Density in Classical and Quantum Field Theories
• Thermal Conformal Blocks
• Conditions on holographic entangling surfaces in higher curvature gravity
• Black hole chemistry and holography in generalized quasi-topological gravity
• Holographic stress tensor at finite coupling
• Holographic Thermalization with Weyl Corrections
• The Imaginary Potential and Thermal Width of Moving Quarkonium from Holography
• Generalized phase transitions in Lovelock gravity
• Plasma photoemission from string theory
• Properties of Causal Holographic Information
• Thermodynamics, Phase Transition and Quasinormal modes with Weyl corrections
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• On Holographic Entanglement Entropy of Charged Matter
• Static solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory in vacuum
• Quasi-topological Reissner-Nordström Black Holes
• Universal Bounds on Operator Dimensions from the Average Null Energy Condition
• Holographic phase space: $c$-functions and black holes as renormalization group flows
• New type of phase transition in gravitational theories
• Quartic Quasi-topological Gravity, Black Holes and Holography
• Thermal Stress Tensor Correlators, OPE and Holography
• Holographic current correlators at finite coupling and scattering off a supersymmetric plasma
• Einstein Quartic Gravity: Shadows, Signals, and Stability
• Novel higher-curvature variations of $R^2$ inflation
• Holographic p-wave Superconductors in Quasi-topological Gravity
• Surface Terms of Quasitopological Gravity and Thermodynamics of Charged Rotating Black Branes
• Dipole Coupling Effect of Holographic Fermion in the Background of Charged Gauss-Bonnet AdS Black Hole
• Black holes in quasi-topological gravity and conformal couplings
• Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions: High-dimensional $\Lambda$-term case
• R^2 Corrections to Asymptotically Lifshitz Spacetimes
• Higher-derivative holography with a chemical potential
• Surface Terms of Quartic Quasitopological Gravity and Thermodynamics of Nonlinear Charged Rotating Black Branes
• Effects of spatial curvature and anisotropy on the asymptotic regimes in Einstein-Gauss-Bonnet gravity
• A universal feature of charged entanglement entropy
• Analytically Approximation Solution to Einstein-Cubic Gravity
• Towards 't Hooft parameter corrections to charge transport in strongly-coupled plasma
• Cosmological dynamics of spatially flat Einstein-Gauss-Bonnet models in various dimensions. Vacuum case
• Thermalization, Viscosity and the Averaged Null Energy Condition
• Holographic constraints on Bjorken hydrodynamics at finite coupling
• Holographic Turbulence in Einstein-Gauss-Bonnet Gravity at Large $D$
• sQGP as hCFT
• Closed Strings and Weak Gravity from Higher-Spin Causality
• Excluding static and spherically symmetric black holes in Einsteinian cubic gravity with unsuppressed higher-order curvature terms
• Conductivity of the holographic p-wave superconductors with higher order corrections
• Higher curvature wormholes
• Holographic RG flow of thermo-electric transports with momentum dissipation
• Viscosity bound for anisotropic superfluids in higher derivative gravity
• Holographic charge transport in 2+1 dimensions at finite $N$
• Extremal Surfaces And Entanglement Entropy
• Holographic superconductivity in Einsteinian Cubic Gravity
• A step towards exploring the features of Gravidilaton sector in Randall-Sundrum scenario via lightest Kaluza-Klein graviton mass
• Slowly rotating and the accelerating ${\alpha }^{\prime }$-corrected black holes in four and higher dimensions
• Reissner-Nordstrom Black Holes in Quartic Quasi-Topological Gravity Theory
• Holographic fermions in charged Gauss-Bonnet black hole
• Realistic Compactification Models in Einstein-Gauss-Bonnet Gravity
• Holographic Trace Anomaly and Local Renormalization Group
• Positive Energy Conditions in 4D Conformal Field Theory
• Causality Constraints in Large $N$ QCD Coupled to Gravity
• $Q$-curvature and gravity
• Achronal averaged null energy condition for extremal horizons and (A)dS
• Gravitational Properties of the Proca Field
• $\eta /s$ at finite coupling
• Holographic Constraints on a Vector Boson
• Entanglement Wedge Cross Section with Gauss-Bonnet Corrections and Thermal Quench
• Physical and thermodynamic properties of quartic quasitopological black holes and rotating black branes with nonlinear source
• On the universality of thermodynamics and $\eta /s$ ratio for the charged Lovelock black branes
• Graviton n-point functions for UV-complete theories in Anti-de Sitter space
• Non-analyticity of holographic Rényi entropy in Lovelock gravity
• Thin-shell wormholes in AdS${}_5$ and string dioptrics
• A more realistic holographic model of color superconductivity with the higher derivative corrections
• Kerr-Schild Ansatz in Lovelock Gravity
• Black holes with topological charges in Chern-Simons AdS${}_5$ supergravity
• Wilson Line Response of Holographic Superconductors in Gauss-Bonnet Gravity
• Non-perturbative unitarity constraints on the ratio of shear viscosity to entropy density in UV complete theories with a gravity dual
• Unitarity constraints on the ratio of shear viscosity to entropy density in higher derivative gravity
• Relative Entropy, Mixed Gauge-Gravitational Anomaly and Causality
• The Weak Gravity Conjecture and the Viscosity Bound with Six-Derivative Corrections
• Domain Walls in Extended Lovelock Gravity
• Lovelock theory, black holes and holography
• The correlation of WGC and Hydrodynamics bound with $R^4$ correction in the charged AdS${}_{d+2}$ black brane
• Graviton multi-point functions at the AdS boundary
• Universal stress-tensor correlation functions of strongly coupled conformal fluids
• Hysteresis in $\eta /s$ for QFTs dual to spherical black holes
• Counterterms for Static Lovelock Solutions
• Holographic Anisotropic Background in 5D Einstien-Gauss-Bonnet Gravity
• Holographic RG Flows from Quasi-Topological Gravity
• Cosmological Models in Lovelock Gravity: An Overview of Recent Progress
• On the Stress Tensor Light-ray Operator Algebra
• Exploring non-perturbative effects on quasi-topological black hole thermodynamics
• Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows
• Extended First Law for Entanglement Entropy in Lovelock Gravity
• Hydrodynamics dual to Einstein-Gauss-Bonnet gravity: all-order gradient resummation
• Thermal Width of Quarkonium from Holography
• Holographic Aspects of Non-minimal $R^3{F}^2$ Black Brane in an EFT Framework
• Fermion Dipole Moment and Holography