Conformal Anisotropic Mechanics

Details Conformal Anisotropic Mechanics Conformal Anisotropic Mechanics

2009-09-18

arxiv.org/abs/0909.3540v2

Phys.Rev.D81:065013,2010

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1103/PhysRevD.81.065013

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 $z$ 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.

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