Conformal Anisotropic Mechanics
arXiv:0909.3540 · doi:10.1103/PhysRevD.81.065013
Abstract
In this paper we implement scale anisotropic transformations in the space-time in classical mechanics. The resulting system is consistent with the dispersion relation of gravity at a Lifshitz point recently considered in arXiv:0901.3775. Also, we show that our model is a generalization of the conformal mechanics of Alfaro, Fubini and Furlan. For arbitrary we construct the dynamical symmetries that correspond to the Schroedinger algebra. Furthermore, we obtain the Boltzman distribution for a gas of free particles compatible with anisotropic scaling transformations and compare our result with the corresponding thermodynamics of the recent anisotropic black branes proposed in arXiv:0907.4755.
6 pages
References in corpus (13)
- Quantum Gravity at a Lifshitz Point
- Fractional Quantum Mechanics
- 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
- Galilean Conformal Algebras and AdS/CFT
- Planck-scale modified dispersion relations and Finsler geometry
- The geometry of Schrödinger symmetry in non-relativistic CFT
- On the spectrum of nonrelativistic AdS/CFT
- Anomaly in conformal quantum mechanics: From molecular physics to black holes
- On Horava-Lifshitz "Black Holes"
- Thermodynamics of black branes in asymptotically Lifshitz spacetimes
- Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
Cited by in corpus (21)
- Hořava Gravity at a Lifshitz Point: A Progress Report
- Resembling dark energy and modified gravity with Finsler-Randers cosmology
- Particle Kinematics in Horava-Lifshitz Gravity
- Notes on Matter in Horava-Lifshitz Gravity
- Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
- 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
- Electrodynamics a la Horava
- U(1) Invariant F(R) Horava-Lifshitz Gravity
- Lifshitz scalar, brick wall method, and GUP in Hořava-Lifshitz Gravity
- Static electromagnetic fields and charged black holes in general covariant theory of Horava-Lifshitz gravity
- Cosmic magnetization in curved and Lorentz violating space-times
- Note on an action for a particle in the Hořava-Lifshitz Gravity
- String in Horava-Lifshitz Gravity
- Note About Equivalence of F(R) and Scalar Tensor Horava-Lifshitz Gravities
- On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
- Horava-Lifshitz Gravity And Ghost Condensation
- Is it possible to relate MOND with Horava Gravity?
- Spherical Symmetric Solutions in Hořava-Lifshitz Gravity and their Properties
- T-Duality For String in Horava-Lifshitz Gravity
- New dynamical realizations of the Lifshitz group