The geometry of Schr\"odinger symmetry in non-relativistic CFT

Understand

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.