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The geometry of Schrödinger symmetry in non-relativistic CFT

Abstract : The non-relativistic conformal "Schrödinger" 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 Schrödinger 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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Submitted on : Thursday, October 2, 2008 - 2:26:42 PM
Last modification on : Friday, September 14, 2018 - 1:15:24 AM

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  • HAL Id : hal-00326289, version 1
  • ARXIV : 0809.3128



Christian Duval, M. Hassaine, P. A. Horvathy. The geometry of Schrödinger symmetry in non-relativistic CFT. Annals of Physics, Elsevier Masson, 2009, 324, pp.1158-1167. ⟨hal-00326289⟩



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