Non-relativistic holography
arXiv:0812.0530
Abstract
We consider holography for d-dimensional scale invariant but non-Lorentz invariant field theories, which do not admit the full Schrodinger symmetry group. We find new realizations of the corresponding (d+1)-dimensional gravity duals, engineered with a variety of matter Lagrangians, and their finite temperature generalizations. The thermodynamic properties of the finite temperature backgrounds are precisely those expected for anisotropic, scale invariant field theories. The brane and string theory realizations of such backgrounds are briefly discussed, along with their holographic interpretation in terms of marginal but non Lorentz invariant deformations of conformal field theories. We initiate discussion of holographic renormalization in these backgrounds, and note that such systematic renormalization is necessary to obtain the correct behavior of correlation functions.
32 pages
References in corpus (12)
- Gravity duals for non-relativistic CFTs
- Nonrelativistic conformal field theories
- AdS/CFT correspondence and Geometry
- Families of IIB duals for nonrelativistic CFTs
- Black holes and non-relativistic quantum systems
- Thermodynamics of Black Holes in Schroedinger Space
- Remark on quantum mechanics with conformal Galilean symmetry
- Non-relativistic CFT and Semi-classical Strings
- AdS/NRCFT for the (super) Calogero model
- Towards Gravity solutions of AdS/CMT
- More gravity solutions of AdS/CMT
- Null Melvin Twist to Sakai-Sugimoto model
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- Correlation Functions in Non-Relativistic Holography
- On AdS/CFT of Galilean Conformal Field Theories
- Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
- Non-relativistic metrics with extremal limits