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arXiv · 0909.3540

Conformal Anisotropic Mechanics

Juan M. Romero·Vladimir Cuesta·J. Antonio Garcia·J. David Vergara
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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 $z$ 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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Juan M. Romero, Vladimir Cuesta, J. Antonio Garcia, J. David Vergara. 2009-09-18. Conformal Anisotropic Mechanics. https://doi.org/10.1103/physrevd.81.065013

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