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Duval, C.; Hassaïne, M.; Horváthy, P. A.

The geometry of Schrödinger symmetry in non-relativistic CFT. (English) Zbl 1162.81034

Ann. Phys. 324, No. 5, 1158-1167 (2009).
Summary: 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.

Cited in 36 Documents

MSC:

81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
83E15 Kaluza-Klein and other higher-dimensional theories
81V17 Gravitational interaction in quantum theory
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)

Keywords:

non-relativistic conformal symmetry; Bargmann framework; Kaluza-Klein type theory; non-relativistic ads/CFT
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\textit{C. Duval} et al., Ann. Phys. 324, No. 5, 1158--1167 (2009; Zbl 1162.81034)
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