Non-relativistic Holography and Singular Black Hole
arXiv:0810.0227 · doi:10.1016/j.physletb.2009.07.002
Abstract
We provide a framework for non-relativistic holography so that a covariant action principle ensuring the Galilean symmetry for dual conformal field theory is given. This framework is based on the Bargmann lift of the Newton-Cartan gravity to the one-dimensional higher Einstein gravity, or reversely, the null-like Kaluza-Klein reduction. We reproduce the previous zero temperature results, and our framework provides a natural explanation about why the holography is co-dimension 2. We then construct the black hole solution dual to the thermal CFT, and find the horizon is curvature singular. However, we are able to derive the sensible thermodynamics for the dual non-relativistic CFT with correct thermodynamical relations. Besides, our construction admits a null Killing vector in the bulk such that the Galilean symmetry is preserved under the holographic RG flow. Finally, we evaluate the viscosity and find it zero if we neglect the back reaction of the singular horizon, otherwise, it could be nonzero.
19 pages, 1 figure, v3. minor revisions, refs. added v4. minor revisions
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Cited by in corpus (23)
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- Newtonian Gravity and the Bargmann Algebra
- `Stringy' Newton-Cartan Gravity
- Transport Properties of Holographic Defects
- Correlation Functions in Non-Relativistic Holography
- Disordered Systems and the Replica Method in AdS/CFT
- On AdS/CFT of Galilean Conformal Field Theories
- Embedding Galilean and Carrollian geometries I. Gravitational waves
- Super Galilean conformal algebra in AdS/CFT
- Non-relativistic CFT and Semi-classical Strings
- Embedding nonrelativistic physics inside a gravitational wave
- Towards a gravity dual of the unitary Fermi gas
- Fermions in non-relativistic AdS/CFT correspondence
- Non-Relativistic Holography -- A Group-Theoretical Perspective
- New (p+1) Dimensional Non-relativistic Theories from Euclidean Stable and Unstable Dp-Branes
- Schrödinger Manifolds
- Symmetries and currents of the ideal and unitary Fermi gases
- Charged, conformal non-relativistic hydrodynamics
- Ideal gas matching for thermal Galilean holography
- Holographic two-point functions in a disorder system
- Constrained Hamiltonian analysis of a non relativistic Schrodinger field coupled with C-S gravity
- Equivalence of a harmonic oscillator to a free particle and Eisenhart lift
- On Twisted Spacetimes: a new class of Galilean cosmological models