Schrödinger Holography with and without Hyperscaling Violation
arXiv:1202.6062 · doi:10.1007/JHEP06(2012)116
Abstract
We study the properties of the Schrödinger-type non-relativistic holography for general dynamical exponent z with and without hyperscaling violation exponent θ. The scalar correlation function has a more general form due to general z as well as the presence of θ, whose effects also modify the scaling dimension of the scalar operator. We propose a prescription for minimal surfaces of this "codimension 2 holography," and demonstrate the (d-1) dimensional area law for the entanglement entropy from (d+3) dimensional Schrödinger backgrounds. Surprisingly, the area law is violated for d+1 < z < d+2, even without hyperscaling violation, which interpolates between the logarithmic violation and extensive volume dependence of entanglement entropy. Similar violations are also found in the presence of the hyperscaling violation. Their dual field theories are expected to have novel phases for the parameter range, including Fermi surface. We also analyze string theory embeddings using non-relativistic branes.
62 pages and 6 figures, v2: several typos in section 5 corrected, references added, v3: typos corrected, references added, published version
References in corpus (42)
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Viscosity, Black Holes, and Quantum Field Theory
- Entanglement entropy of fermions in any dimension and the Widom conjecture
- Effective Holographic Theories for low-temperature condensed matter systems
- Hidden Fermi surfaces in compressible states of gauge-gravity duality
- Non-relativistic holography
- Aspects of holography for theories with hyperscaling violation
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- A refinement of entanglement entropy and the number of degrees of freedom
- Holography of Dyonic Dilaton Black Branes
- Consistent supersymmetric Kaluza--Klein truncations with massive modes
- Electron stars for holographic metallic criticality
- Entanglement entropy of critical spin liquids
- On the spectrum of nonrelativistic AdS/CFT
- Holography for Schrodinger backgrounds
- On Lifshitz scaling and hyperscaling violation in string theory
- Families of IIB duals for nonrelativistic CFTs
- Deconstructing holographic liquids
- Holographic Entanglement Entropy and Fermi Surfaces
- Correlation Functions in Non-Relativistic Holography
- Fermi surfaces and gauge-gravity duality
- Domain Wall Holography for Finite Temperature Scaling Solutions
- 1/N Effects in Non-Relativistic Gauge-Gravity Duality
- Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries
- Lifshitz/Schrödinger D-p-branes and dynamical exponents
- Holography of charged dilatonic black branes at finite temperature
- Supersymmetric solutions for non-relativistic holography
- Correlation functions in the non-relativistic AdS/CFT correspondence
- Thermodynamics of Black Holes in Schroedinger Space
- On the Null Energy Condition and Causality in Lifshitz Holography
- Solutions of type IIB and D=11 supergravity with Schrodinger(z) symmetry
- Non-relativistic Branes
- Luttinger's theorem, superfluid vortices, and holography
- The particle number in Galilean holography
- Area law violations in a supersymmetric model
- Real-Time Correlators and Non-Relativistic Holography
- Charged Dilatonic Black Holes and their Transport Properties
- Aspects of Puff Field Theory
- Strange Metallic Behaviour and the Thermodynamics of Charged Dilatonic Black Holes
- Holographic real-time non-relativistic correlators at zero and finite temperature
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- Introduction to Holographic Superconductor Models
- Quantum critical lines in holographic phases with (un)broken symmetry
- Holographic Models for Theories with Hyperscaling Violation
- Lifshitz/Schrödinger D-p-branes and dynamical exponents
- Quantum Fluctuations in Holographic Theories with Hyperscaling Violation
- Phase transition and hyperscaling violation for scalar Black Branes
- Thermodynamics of Schrödinger black holes with hyperscaling violation
- Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals
- Quasinormal frequencies and thermodynamic quantities for the Lifshitz black holes
- AdS plane waves and entanglement entropy
- Intersecting D-branes and Lifshitz-like space-time
- On Holographic Entanglement Entropy of Charged Matter
- Lifshitz metric with hyperscaling violation from NS5-Dp states in string theory
- On the reconstruction of Lifshitz spacetimes
- Non-conformal Hydrodynamics in Einstein-dilaton Theory
- Hyperscaling violation for scalar black branes in arbitrary dimensions
- Transport in non-conformal holographic fluids
- Non-conformal brane plane waves and entanglement entropy
- Hyperscaling violation : a unified frame for effective holographic theories
- Lifshitz to AdS flow with interpolating p-brane solutions
- Particle Number and 3D Schroedinger Holography
- AdS null deformations with inhomogeneities
- Holographic Renormalization of Einstein-Maxwell-Dilaton Theories
- From AdS to Schrödinger/Lifshitz dual space-times without or with hyperscaling violation
- Gravitational anomalies on the Newton-Cartan background
- Hydrodynamics from scalar black branes
- Jet Quenching Parameter with Hyperscaling Violation
- Holographic entanglement entropy of the near horizon 1/4 BPS F-D bound states
- Aging Logarithmic Conformal Field Theory : a holographic view
- Infrared Behavior of Scalar Condensates in Effective Holographic Theories
- Fermi-like Liquid From Einstein-DBI-Dilaton System
- Holographic thermalization from non relativistic branes
- Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
- Holographic charge diffusion in non relativistic branes
- Aging Logarithmic Galilean Field Theories
- Holographic entanglement entropy of semi-local quantum liquids
- On hvLif-like solutions in gauged Supergravity
- Hyperscaling violating Schrodinger black holes in Einstein-Maxwell-scalar theory
- Entanglement rules for holographic Fermi surfaces
- Penrose Limit and Non-relativistic geometries
- Schrödinger Spacetimes with Screen and Reduced Entanglement