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arXiv · 0809.3128

The geometry of Schrödinger symmetry in non-relativistic CFT

C. Duval·M. Hassaine·P. A. Horvathy
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Abstract

The non-relativistic conformal "Schroedinger" symmetry of some gravity backgrounds proposed recently in the AdS/CFT context, is explained in the "Bargmann framework". The formalism incorporates the Equivalence Principle. Newton-Hooke conformal symmetries, which are analogs of those of Schroedinger in the presence of a negative cosmological constant, are discussed in a similar way. Further examples include topologically massive gravity with negative cosmological constant and the Madelung hydrodynamical description.

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C. Duval, M. Hassaine, P. A. Horvathy. 2008-12-04. The geometry of Schrödinger symmetry in non-relativistic CFT. https://doi.org/10.1016/j.aop.2009.01.006

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