Anisotropic Conformal Infinity

Abstract

We generalize Penrose's notion of conformal infinity of spacetime, to situations with anisotropic scaling. This is relevant not only for Lifshitz-type anisotropic gravity models, but also in standard general relativity and string theory, for spacetimes exhibiting a natural asymptotic anisotropy. Examples include the Lifshitz and Schrodinger spaces (proposed as AdS/CFT duals of nonrelativistic field theories), warped AdS_3, and the near-horizon extreme Kerr geometry. The anisotropic conformal boundary appears crucial for resolving puzzles of holographic renormalization in such spacetimes.

11 pages

References in corpus (9)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Membranes at Quantum Criticality
• Warped AdS_3 Black Holes
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping
• Asymptotic symmetries of Schrödinger spacetimes

Cited by in corpus (47)

• Towards strange metallic holography
• General Covariance in Quantum Gravity at a Lifshitz Point
• Torsional Newton-Cartan Geometry and Lifshitz Holography
• Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
• Hořava Gravity at a Lifshitz Point: A Progress Report
• Lifshitz Gravity for Lifshitz Holography
• Holography for asymptotically locally Lifshitz spacetimes
• General Covariance in Gravity at a Lifshitz Point
• Conformal Lifshitz Gravity from Holography
• Field theories with anisotropic scaling in 2D, solitons and the microscopic entropy of asymptotically Lifshitz black holes
• Lifshitz holography: The whole shebang
• Scalar Field Theories with Polynomial Shift Symmetries
• String theory embeddings of non-relativistic field theories and their holographic Horava gravity duals
• Holographic Renormalization for z=2 Lifshitz Space-Times from AdS
• Real-time correlators in warped AdS/CFT correspondence
• Universal horizons and black holes in gravitational theories with broken Lorentz symmetry
• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• Warped Entanglement Entropy
• Black holes and global structures of spherical spacetimes in Horava-Lifshitz theory
• High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
• Generalized dilatation operator method for non-relativistic holography
• The transfer matrix in four-dimensional CDT
• Non-Relativistic Holography -- A Group-Theoretical Perspective
• On the reconstruction of Lifshitz spacetimes
• Asymptotically Schroedinger Space-Times: TsT Transformations and Thermodynamics
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
• Schrödinger Manifolds
• Pseudo-topological transitions in 2D gravity models coupled to massless scalar fields
• Static electromagnetic fields and charged black holes in general covariant theory of Horava-Lifshitz gravity
• Flat-Space Holography and Stress Tensor of Kerr Black Hole
• Properties of Schroedinger Black Holes from AdS Space
• Aspects of Ultra-Relativistic Field Theories via Flat-space Holography
• Particle Number and 3D Schroedinger Holography
• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• A Non-relativistic Logarithmic Conformal Field Theory from a Holographic Point of View
• Asymptotically hyperbolic black holes in Horava gravity
• String theory duals of Lifshitz-Chern-Simons gauge theories
• Finite Temperature Aging Holography
• Dispersion relations in non-relativistic two-dimensional materials from quasinormal modes in Hořava Gravity
• Asymptotically Schrödinger Space-Times
• Tropological Sigma Models
• Flat-space Holography and Correlators of Robinson-Trautman Stress tensor
• Scalar Boundary Conditions in Lifshitz Spacetimes
• Energy-entropy relation for asymptotically Lifshitz spacetimes with universal horizons
• A (1+1)-dimensional Lifshitz Weyl Anomaly From a Schr$\ddot{\mathrm{o}}$dinger-invariant Non-relativistic Chern-Simons Action
• Holographic stress tensor of colored Lifshitz spacetimes and hairy black holes
• Hyperscaling violating Lifshitz holography