Higher-derivative holography with a chemical potential

Abstract

We carry out an extensive study of the holographic aspects of any-dimensional higher-derivative Einstein-Maxwell theories in a fully analytic and non-perturbative fashion. We achieve this by introducing the $d$-dimensional version of Electromagnetic Quasitopological gravities: higher-derivative theories of gravity and electromagnetism that propagate no additional degrees of freedom and that allow one to study charged black hole solutions analytically. These theories contain non-minimal couplings, that in the holographic context give rise to a modified $⟨JJ⟩$ correlator as well as to a general $⟨TJJ⟩$ structure whose coefficients we compute. We constrain the couplings of the theory by imposing CFT unitarity and positivity of energy (which we show to be equivalent to causality in the bulk) as well as positive-entropy bounds from the weak gravity conjecture. The thermodynamic properties of the dual plasma at finite chemical potential are studied in detail, and we find that exotic zeroth-order phase transitions may appear, but that many of them are ruled out by the physical constraints. We further compute the shear viscosity to entropy density ratio, and we show that it can be taken to zero while respecting all the constraints, providing that the chemical potential is large enough. We also obtain the charged Rényi entropies and we observe that the chemical potential always increases the amount of entanglement and that the usual properties of Rényi entropies are preserved if the physical constraints are met. Finally, we compute the scaling dimension and magnetic response of twist operators and we provide a holographic derivation of the universal relations between the expansion of these quantities and the coefficients of $⟨JJ⟩$ and $⟨TJJ⟩$.

arXiv commentv3: matches version accepted in JHEP

References in corpus (144)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Aspects of Holographic Entanglement Entropy
• Lectures on holographic methods for condensed matter physics
• Towards a derivation of holographic entanglement entropy
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• The String Landscape, Black Holes and Gravity as the Weakest Force
• Gauss-Bonnet Black Holes in AdS Spaces
• From AdS/CFT correspondence to hydrodynamics
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Quantum entanglement in condensed matter systems
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• Conformal collider physics: Energy and charge correlations
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Holographic c-theorems in arbitrary dimensions
• Holography and hydrodynamics: diffusion on stretched horizons
• Viscosity Bound Violation in Higher Derivative Gravity
• Universality of the shear viscosity in supergravity
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• Viscosity Bound and Causality Violation
• Energy in Generic Higher Curvature Gravity Theories
• Seeing a c-theorem with holography
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
• Holographic GB gravity in arbitrary dimensions
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• Conserved Currents and the Energy Momentum Tensor in Conformally Invariant Theories for General Dimensions
• Beyond eta/s = 1/4pi
• Black Hole Scan
• Black Holes in Quasi-topological Gravity
• Holographic Superconductors with Higher Curvature Corrections
• Hydrodynamics of R-charged black holes
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• Holographic Calculations of Renyi Entropy
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• Lanczos-Lovelock models of gravity
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• Higher-order corrections to mass-charge relation of extremal black holes
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Holographic studies of quasi-topological gravity
• Holographic Entanglement Entropy in Lovelock Gravities
• Einsteinian cubic gravity
• Curvature terms in D-brane actions and their M-theory origin
• Causality of Holographic Hydrodynamics
• Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
• Holographic Hydrodynamics with a Chemical Potential
• Universality of corner entanglement in conformal field theories
• Weak Gravity Conjecture from Unitarity and Causality
• Black Holes, Shock Waves, and Causality in the AdS/CFT Correspondence
• Proof of the Weak Gravity Conjecture from Black Hole Entropy
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• On the conformal anomaly from higher derivative gravity in AdS/CFT correspondence
• Holographic superconductors in the Born-Infeld electrodynamics
• AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
• Holographic Charged Renyi Entropies
• Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity
• Quantum corrections to eta/s
• Shear Viscosity from Effective Couplings of Gravitons
• The Hydrodynamics of M-Theory
• The Shear Viscosity to Entropy Ratio: A Status Report
• Four-dimensional black holes in Einsteinian cubic gravity
• Holographic p-wave superconductors from Gauss-Bonnet gravity
• Shear viscosity from R-charged AdS black holes
• Generalized quasi-topological gravity
• Black holes in Einsteinian cubic gravity
• Aspects of general higher-order gravities
• Shear viscosity, instability and the upper bound of the Gauss-Bonnet coupling constant
• Causality in AdS/CFT and Lovelock theory
• On Subleading Contributions to the AdS/CFT Trace Anomaly
• Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence
• Holographic Quantum Critical Transport without Self-Duality
• Renyi Entropies for Free Field Theories
• The shear viscosity of gauge theory plasma with chemical potentials
• Black Holes in (Quartic) Quasitopological Gravity
• (Generalized) quasi-topological gravities at all orders
• Positivity of Curvature-Squared Corrections in Gravity
• Entanglement entropy across a deformed sphere
• Viscosity Bound, Causality Violation and Instability with Stringy Correction and Charge
• Causality, Unitarity, and the Weak Gravity Conjecture
• A Universal Relation Between Corrections to Entropy and Extremality
• Quintic quasi-topological gravity
• Corner contributions to holographic entanglement entropy
• A universal feature of CFT Renyi entropy
• Quintessential Quartic Quasi-topological Quartet
• On black holes in higher-derivative gravities
• Lovelock theories, holography and the fate of the viscosity bound
• Shear viscosity and instability from third order Lovelock gravity
• A Lovelock black hole bestiary
• All higher-curvature gravities as Generalized quasi-topological gravities
• Twist operators in higher dimensions
• Holographic studies of Einsteinian cubic gravity
• Higher derivative effects on eta/s at finite chemical potential
• Black holes in five-dimensional gauged supergravity with higher derivatives
• Shape Dependence of Holographic Rényi Entropy in General Dimensions
• Multipoint correlators of conformal field theories: implications for quantum critical transport
• Thermodynamics of 4D Dilatonic Black Holes and the Weak Gravity Conjecture
• Transport coefficients, membrane couplings and universality at extremality
• Regular black holes in three dimensions
• Lovelock theory and the AdS/CFT correspondence
• Universality of squashed-sphere partition functions
• Mutual information and the structure of entanglement in quantum field theory
• Duality and Axionic Weak Gravity
• Electromagnetic Quasitopological Gravities
• Shear Viscosity to Entropy Density Ratio in Six Derivative Gravity
• Aspects of Holographic Entanglement at Finite Temperature and Chemical Potential
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Energy and Angular Momentum in Generic F(Riemann) Theories
• On the extremality bound of stringy black holes
• The Quantum Viscosity Bound In Lovelock Gravity
• Black hole chemistry and holography in generalized quasi-topological gravity
• Higher derivative corrections to R-charged AdS_5 black holes and field redefinitions
• Holographic Rényi Entropies at Finite Coupling
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• Conserved Charges in Extended Theories of Gravity
• Criticality in Einstein-Gauss-Bonnet Gravity: Gravity without Graviton
• Universality in the Shape Dependence of Holographic Rényi Entropy for General Higher Derivative Gravity
• Duality and Supersymmetry Constraints on the Weak Gravity Conjecture
• Quartic Quasi-topological Gravity, Black Holes and Holography
• Duality-invariant extensions of Einstein-Maxwell theory
• Universal Structure of Covariant Holographic Two-Point Functions In Massless Higher-Order Gravities
• Partition functions on slightly squashed spheres and flux parameters
• Holography of Charged Black Holes with $R{F}^2$ Corrections
• The Weak Gravity Conjecture, RG Flows, and Supersymmetry
• An orientifold of adS_5xT^11 with D7-branes, the associated alpha'^2- corrections and their role in the dual N=1 Sp(2N+2M)xSp(2N) gauge theory
• The Weak Gravity Conjecture Requires the Existence of Exotic AdS Black Holes
• Holographic Studies of The Generic Massless Cubic Gravities
• Simple counterterms for asymptotically AdS spacetimes in Lovelock gravity
• Corrections to Extremal Black Holes from Iyer-Wald Formalism
• New approach to conserved charges of generic gravity in AdS
• The Entropy Shift and Extremality Shift at Zero Temperature
• Holographic superconductivity in Einsteinian Cubic Gravity
• Universal renormalization procedure for higher curvature gravities in D$\le$5
• Non-analyticity of holographic Rényi entropy in Lovelock gravity
• Holographic Dual of The Weak Gravity Conjecture
• Planar Black Holes as a Route to Understanding the Weak Gravity Conjecture
• Higher-Curvature Gravity, Black Holes and Holography

Cited by in corpus (11)

• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
• Generalized quasi-topological gravities: the whole shebang
• Bounding Violations of the Weak Gravity Conjecture
• On the classification of Generalized Quasitopological Gravities
• Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Holographic explorations of regular black holes in pure gravity
• Quasi-topological Gravities on General Spherically Symmetric Metric
• On regular charged black holes in three dimensions
• Bulk-Boundary Thermodynamics of Charged Black Holes in Higher Derivative Theory
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions