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The geometry of Schrödinger symmetry in non-relativistic CFT

2009; Elsevier BV; Volume: 324; Issue: 5 Linguagem: Inglês

10.1016/j.aop.2009.01.006

1096-035X

Christian Duval, M. Hassaïne, P. A. Horváthy,

Noncommutative and Quantum Gravity Theories

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.