Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
arXiv:1110.2320 · doi:10.1007/JHEP01(2012)089
Abstract
We show that a class of Einstein-Maxwell-Dilaton (EMD) theories are related to higher dimensional AdS-Maxwell gravity via a dimensional reduction over compact Einstein spaces combined with continuation in the dimension of the compact space to non-integral values (`generalized dimensional reduction'). This relates (fairly complicated) black hole solutions of EMD theories to simple black hole/brane solutions of AdS-Maxwell gravity and explains their properties. The generalized dimensional reduction is used to infer the holographic dictionary and the hydrodynamic behavior for this class of theories from those of AdS. As a specific example, we analyze the case of a black brane carrying a wave whose universal sector is described by gravity coupled to a Maxwell field and two neutral scalars. At thermal equilibrium and finite chemical potential the two operators dual to the bulk scalar fields acquire expectation values characterizing the breaking of conformal and generalized conformal invariance. We compute holographically the first order transport coefficients (conductivity, shear and bulk viscosity) for this system.
v2, Important additions: (1) discussion of the entropy current, (2) postulated zeta/eta bound is generically violated. Some comments and references added, typos corrected. 50 pages
References in corpus (14)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Nonlinear Fluid Dynamics from Gravity
- Effective Holographic Theories for low-temperature condensed matter systems
- Exploring improved holographic theories for QCD: Part II
- Metallic AdS/CFT
- Bulk viscosity of gauge theory plasma at strong coupling
- Holography of Dyonic Dilaton Black Branes
- Precision holography for non-conformal branes
- Universal hydrodynamics of non-conformal branes
- Domain Wall Holography for Finite Temperature Scaling Solutions
- Holography of charged dilatonic black branes at finite temperature
- A Novel Formula for Bulk Viscosity from the Null Horizon Focusing Equation
- Strange Metallic Behavior in Anisotropic Background
- An elementary stringy estimate of transport coefficients of large temperature QCD
Cited by in corpus (88)
- Charge transport in holography with momentum dissipation
- Lifshitz holography
- On the Dynamics of Near-Extremal Black Holes
- Quantum critical lines in holographic phases with (un)broken symmetry
- 5D Rotating Black Holes and the nAdS/nCFT Correspondence
- Holographic RG flow and the Quantum Effective Action
- Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography
- Holographic Models for Theories with Hyperscaling Violation
- Lifshitz holography: The whole shebang
- Hyperscaling violation from supergravity
- Extremal Horizons with Reduced Symmetry: Hyperscaling Violation, Stripes, and a Classification for the Homogeneous Case
- Heat Engines for Dilatonic Born-Infeld Black Holes
- Schrödinger Holography with and without Hyperscaling Violation
- (Non)renormalization of Anomalous Conductivities and Holography
- AdS/Ricci-flat correspondence and the Gregory-Laflamme instability
- On the Temperature Dependence of the Shear Viscosity and Holography
- Phase transition and hyperscaling violation for scalar Black Branes
- Slow relaxation and diffusion in holographic quantum critical phases
- AdS/Ricci-flat correspondence
- Constructing AdS_2 flow geometries
- Study of Anisotropic Black Branes in Asymptotically anti-de Sitter
- Aspects of Current Correlators in Holographic Theories with Hyperscaling Violation
- Lifshitz as a deformation of Anti-de Sitter
- Entangled Dilaton Dyons
- Holographic Shear Viscosity in Hyperscaling Violating Theories without Translational Invariance
- Holographic Forced Fluid Dynamics in Non-relativistic Limit
- On aspects of 2-dim dilaton gravity, dimensional reduction and holography
- Intermediate scalings in holographic RG flows and conductivities
- Holographic approach to transport in dense QCD matter
- Black Hole Enthalpy and Scalar Fields
- AdS black holes with arbitrary scalar coupling
- Effective field theory of stochastic diffusion from gravity
- Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
- Generating Temperature Flow for eta/s with Higher Derivatives: From Lifshitz to AdS
- Late time behavior of non-conformal plasmas
- Holographic entanglement entropy in the nonconformal medium
- Rotating Black Holes in AdS, Extremality and Chaos
- Semi-local quantum criticality in string/M-theory
- Charge-Hyperscaling Violating Lifshitz hydrodynamics from black-holes
- Hyperscaling Violating Solutions in Generalised EMD Theory
- Holographic Butterfly Effect and Diffusion in Quantum Critical Region
- Bulk Viscosity in Holographic Lifshitz Hydrodynamics
- Generalized conformal structure, dilaton gravity and SYK
- Kasner solutions, climbing scalars and big-bang singularity
- Non-conformal Hydrodynamics in Einstein-dilaton Theory
- De Sitter and Anti-de Sitter branes in self-tuning models
- Lifshitz from AdS at finite temperature and top down models
- Hyperscaling-Violating Lifshitz hydrodynamics from black-holes: Part II
- Transport in non-conformal holographic fluids
- Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
- Selecting Horndeski theories without apparent symmetries and their black hole solutions
- Hyperscaling violation : a unified frame for effective holographic theories
- Slowly rotating Einstein-Maxwell-dilaton black hole and some aspects of its thermodynamics
- Fluctuations in non-conformal holographic plasma at criticality
- Cosmological solutions in five dimensional Einstein-Maxwell-dilaton theory
- A Comment on Holographic Luttinger Theorem
- Taking a critical look at holographic critical matter
- Power Law of Shear Viscosity in Einstein-Maxwell-Dilaton-Axion model
- Probing the Hydrodynamic Limit of (Super)gravity
- Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
- An Hamilton-Jacobi formulation of anisotropic inflation
- A New Approach to Non-Abelian Hydrodynamics
- Jet Quenching Parameter with Hyperscaling Violation
- New class of exact solutions to Einstein-Maxwell-dilaton theory on four-dimensional Bianchi type IX geometry
- Holography and hydrodynamics for EMD theory with two Maxwell fields
- Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory
- Building Cosmological Frozen Stars
- Demystifying the Holographic Mystique
- Supersymmetric Black Holes and the SJT/nSCFT Correspondence
- Geons and Spin-2 Condensates in the AdS Soliton
- Trajectories of photons around a rotating black hole with unusual asymptotics
- Analytic long-lived modes in charged critical plasma
- A New Class of Exact Solutions in Einstein-Maxwell-dilaton Theory
- Kaluza-Klein reduction of relativistic fluids and their gravity duals
- Notes on the holographic Lifshitz theory
- The Stringy Origins of Galileons and their Novel Limit
- On black hole thermodynamics with a momentum relaxation
- Brane solutions sourced by a scalar with vanishing potential and classification of scalar branes
- Minimal Surfaces and Generalized Einstein-Maxwell-dilaton Theory
- Holographic CFTs on and conformal defects
- Holographic renormalization group flows in two-dimensional gravity and black holes
- Mapping AdS to dS spaces and back
- Conformal Scale Factor Inversion for Domain Walls and Holography
- Quasibound states of massive charged scalars around dilaton black holes in dimensions: Exact frequencies
- Ward identities and relations between conductivities and viscosities in holography
- Exact Dynamical Black Hole Solutions in Five or Higher Dimensions
- Cosmic acceleration from string induced Galileons
- An analytic approach for holographic entanglement entropy at (quantum) criticality