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The geometry of Schrödinger symmetry in non-relativistic CFT

arXiv:0809.3128 · doi:10.1016/j.aop.2009.01.006

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.

RevTex, 7 pages, no figures. Presentation rearranged, minor corrections, some more references added