On String Theory Duals of Lifshitz-like Fixed Points

Abstract

We present type IIB supergravity solutions which are expected to be dual to certain Lifshitz-like fixed points with anisotropic scale invariance. They are expected to describe a class of D3-D7 systems and their finite temperature generalizations are straightforward. We show that there exist solutions that interpolate between these anisotropic solutions in the IR and the standard AdS5 solutions in the UV. This predicts anisotropic RG flows from familiar isotropic fixed points to anisotropic ones. In our case, these RG flows are triggered by a non-zero theta-angle in Yang-Mills theories that linearly depends on one of the spatial coordinates. We study the perturbations around these backgrounds and discuss the possibility of instability. We also holographically compute their thermal entropies, viscosities, and entanglement entropies.

47 pages, 4 figures

References in corpus (35)

• 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
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Aspects of Holographic Entanglement Entropy
• Entropy and Area
• Geometric and Renormalized Entropy in Conformal Field Theory
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Gravity Duals of Lifshitz-like Fixed Points
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Quasinormal modes and holography
• Baryons And Branes In Anti de Sitter Space
• Holography and hydrodynamics: diffusion on stretched horizons
• Non-relativistic holography
• Nonrelativistic conformal field theories
• Comments on string theory backgrounds with non-relativistic conformal symmetry
• SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems
• Heating up Galilean holography
• Bulk viscosity of gauge theory plasma at strong coupling
• Hot Spacetimes for Cold Atoms
• Black holes in asymptotically Lifshitz spacetime
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Quantum Criticality and Yang-Mills Gauge Theory
• Local scale invariance and strongly anisotropic equilibrium critical systems
• Gravity Dual of a Quantum Hall Plateau Transition
• Families of IIB duals for nonrelativistic CFTs
• Quantum Hall Effect in AdS/CFT
• Stability of AdS_p x M_q Compactifications Without Supersymmetry
• Hydrodynamics from the Dp-brane
• Anisotropic gravity solutions in AdS/CMT
• Towards Gravity solutions of AdS/CMT
• More gravity solutions of AdS/CMT
• Comments on Holography with Broken Lorentz Invariance

Cited by in corpus (142)

• Holographic Entanglement Entropy: An Overview
• Towards strange metallic holography
• Holography of Charged Dilaton Black Holes
• Violation of the Holographic Viscosity Bound in a Strongly Coupled Anisotropic Plasma
• Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
• Holographic Entanglement Entropy in Lovelock Gravities
• Symmetry Breaking Using Value Precedence
• Holography of Dyonic Dilaton Black Branes
• The anisotropic N=4 super Yang-Mills plasma and its instabilities
• Lifshitz holography
• Thermoelectric DC conductivities from black hole horizons
• Lifshitz Black Hole in Three Dimensions
• Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
• Ground states of holographic superconductors
• Holographic Superconductor/Insulator Transition at Zero Temperature
• Holographic stress tensor for non-relativistic theories
• An analytic Lifshitz black hole
• A Lifshitz Black Hole in Four Dimensional R^2 Gravity
• Probing strongly coupled anisotropic plasma
• Strongly-coupled anisotropic gauge theories and holography
• Lifshitz spacetimes from AdS null and cosmological solutions
• Analytic Lifshitz black holes in higher dimensions
• Holographic Superconductors with Lifshitz Scaling
• Constructing Lifshitz solutions from AdS
• On Lifshitz scaling and hyperscaling violation in string theory
• Holographic RG flow of the shear viscosity to entropy density ratio in strongly coupled anisotropic plasma
• On Charged Lifshitz Black Holes
• Thermodynamics of black branes in asymptotically Lifshitz spacetimes
• Drag force in a strongly coupled anisotropic plasma
• Holographic Models for Theories with Hyperscaling Violation
• Thermoelectric conductivities, shear viscosity, and stability in an anisotropic linear axion model
• A Strongly Coupled Anisotropic Fluid From Dilaton Driven Holography
• Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries
• The Shear Viscosity in Anisotropic Phases
• Holographic entanglement entropy: near horizon geometry and disconnected regions
• Phases of planar AdS black holes with axionic charge
• Stability Analysis and Area Spectrum of 3-Dimensional Lifshitz Black Holes
• Asymptotically free four-fermi theory in 4 dimensions at the z=3 Lifshitz-like fixed point
• Anisotropic plasma at finite $U(1)$ chemical potential
• On the Null Energy Condition and Causality in Lifshitz Holography
• Non-integrability in non-relativistic theories
• Holographic superconductors with $z=2$ Lifshitz scaling
• Jet quenching in a strongly coupled anisotropic plasma
• Thermal photon production in a strongly coupled anisotropic plasma
• Quarkonium dissociation by anisotropy
• Energy loss in a strongly coupled anisotropic plasma
• Holography of Charged Dilaton Black Holes in General Dimensions
• Probing Two Holographic Models of Strongly Coupled Anisotropic Plasma
• Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals
• Electromagnetic signatures of a strongly coupled anisotropic plasma
• The Imaginary Part of the Static Potential in Strongly Coupled Anisotropic Plasma
• Zero Sound in Strange Metallic Holography
• $c$-Theorem for Anisotropic RG Flows from Holographic Entanglement Entropy
• Conductivity and Diffusion Constant in Lifshitz Backgrounds
• Quasinormal frequencies and thermodynamic quantities for the Lifshitz black holes
• Analytic black branes in Lifshitz-like backgrounds and thermalization
• Entanglement Entropy in Non-Relativistic Field Theories
• Delocalizing Entanglement of Anisotropic Black Branes
• Holographic fermions in charged Lifshitz theory
• Universal thermal and electrical conductivity from holography
• Fermions and baryons as open-string states from brane junctions
• Brownian motion in strongly coupled, anisotropic Yang-Mills plasma: A holographic approach
• More on thermal probes of a strongly coupled anisotropic plasma
• Holographic quark-antiquark potential in hot, anisotropic Yang-Mills plasma
• Holographic Conductivity in Disordered Systems
• A Note on Black Holes in Asymptotically Lifshitz Spacetime
• Generating Temperature Flow for eta/s with Higher Derivatives: From Lifshitz to AdS
• Microscopic entropy of higher-dimensional nonminimally dressed Lifshitz black holes
• D3-D5 theories with unquenched flavors
• A new phase for the anisotropic N=4 super Yang-Mills plasma
• Boomerang RG flows with intermediate conformal invariance
• Holographic Study of Reflected Entropy in Anisotropic Theories
• Notes on Properties of Holographic Strange Metals
• Drag force in asymptotically Lifshitz spacetimes
• Anisotropic plasmas from axion and dilaton deformations
• On the reconstruction of Lifshitz spacetimes
• Holographic renormalization and anisotropic black branes in higher curvature gravity
• R^2 Corrections to Asymptotically Lifshitz Spacetimes
• Thermodynamics of charged Lifshitz black holes with quadratic corrections
• Bulk Viscosity in Holographic Lifshitz Hydrodynamics
• Dilaton gravity approach to three dimensional Lifshitz black hole
• Lifshitz black holes in the Hořava-Lifshitz gravity
• Lifshitz backgrounds from 10d supergravity
• Brighter Branes, enhancement of photon production by strong magnetic fields in the gauge/gravity correspondence
• Lifshitz black holes in Brans-Dicke theory
• Anisotropic D3-D5 black holes with unquenched flavors
• Lifshitz-like systems and AdS null deformations
• (Super)Yang-Mills at Finite Heavy-Quark Density
• Holographic Entanglement Entropy on Generic Time Slices
• Flowing from $Ad{S}_5$ to $Ad{S}_3$ with $T^{1,1}$
• Renormalization group flows in a Lifshitz-like four fermi model
• Novel Features of the Transport Coefficients in Lifshitz Black Branes
• Boomerang RG flows in M-theory with intermediate scaling
• Low-energy modes in anisotropic holographic fluids
• Gravity dual of a multilayer system
• Phase transitions for the Lifshitz black holes
• Towards a Holographic Quark Matter Crystal
• The Shear Viscosity in an Anisotropic Unitary Fermi Gas
• Cardy formula for charged black holes with anisotropic scaling
• Heavy quark density in N=4 SYM: from hedgehog to Lifshitz spacetimes
• Brane nucleation instabilities in non-AdS/non-CFT
• Jets in a strongly coupled anisotropic plasma
• Quantum Fluctuation and Dissipation in Holographic Theories: A Unifying Study Scheme
• Thermodynamics of anisotropic branes
• Phase transitions of an anisotropic N=4 super Yang-Mills plasma via holography
• Holographic entanglement entropy of the near horizon 1/4 BPS F-D$p$ bound states
• Interpolating solution from AdS${}_5$ to hyperscaling violating Lifshitz space-time
• Consistent reduction of charged D3-D7 systems
• Jet Quenching Parameter with Hyperscaling Violation
• Breaking rotations without violating the KSS viscosity bound
• Thermodynamics and phase diagram of anisotropic Chern-Simons deformed gauge theories
• Baryons under Strong Magnetic Fields or in Theories with Space-dependent $\theta$-term
• Supersymmetric Lifshitz-like backgrounds from N=4 SYM with heavy quark density
• Quasinormal modes and thermodynamical aspects of the 3D Lifshitz black hole
• Axion RG flows and the holographic dynamics of instanton densities
• Diving inside holographic metals
• On Holographic Non-relativistic Schwinger Effect
• Some No-go Theorems for String Duals of Non-relativistic Lifshitz-like Theories
• Holographic study on the jet quenching parameter in anisotropic systems
• Absorption cross section in Lifshitz black hole
• Holographic theories at finite $\theta$-angle, CP-violation, glueball spectra and strong-coupling instabilities
• Lifshitz-like Janus Solutions
• Holographic fundamental matter in multilayered media
• Meson Life Time in the Anisotropic Quark-Gluon Plasma
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• Holographic Non-local Rotating Observables and their Renormalization
• Heavy quark potential with hyperscaling violation
• Viscosity for Anisotropic Reissner Nordström Blackbranes
• Spatial Anisotropy in Nonrelativistic Holography
• Flavored anisotropic black holes
• On hvLif-like solutions in gauged Supergravity
• Anisotropic critical points from holography
• Matrix Flavor Brane and Dual Wilson Line
• Entropic destruction of heavy quarkonium with hyperscaling violation
• Comments on the holographic shear viscosity to entropy density ratio
• Spread of Entanglement in Non-Relativistic Theories
• On the Rényi entropy of Lifshitz and hyperscaling violating black holes
• Non-local Probes in Holographic Theories with Momentum Relaxation
• k-Strings as Fundamental Strings
• Entanglement entropies of an interval in the free Schrödinger field theory at finite density
• Emergent Lifshitz scaling from N=4 SYM with supersymmetric heavy-quark density
• Evolution of matter fields in black holes with Lifshitz symmetry