The geometry of Schr\"odinger symmetry in non-relativistic CFT (2008)
Duval, C., Hassaine, M., Horvathy, P. A.
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...
On Schr\"odinger superalgebras (2005)
We construct, using the supersymplectic framework of Berezin, Kostant and others, two types of supersymmetric extensions of the Schr\"odinger algebra (itself a conformal extension of the Galilei...
Exotic galilean symmetry in the non-commutative plane, and the Hall effect (2001)
Quantum Mechanics in the non-commutative plane is shown to admit the ``exotic'' symmetry of the doubly-centrally-extended Galilei group. When coupled to a planar magnetic field whose strength is the...