Articles dans des revues à comité de lecture
| Supersymmetric extensions of Schroedinger-invariance |
| Henkel M., Unterberger J. |
| Nuclear Physics B 746 (2006) 155 |
| DOI : 10.1016/j.nuclphysb.2006.03.026 |
| ArXiv : math-ph/0512024 [PDF] |
The set of dynamic symmetries of the scalar free Schroedinger equation in d space dimensions gives a realization of the Schroedinger algebra that may be extended into a representation of the conformal algebra in d + 2 dimensions, which yields the set of dynamic symmetries of the same equation where the mass is not viewed as a constant, but as an additional coordinate. An analogous construction also holds for the spin- frac(1, 2) Lévy-Leblond equation. A N = 2 supersymmetric extension of these equations leads, respectively, to a super-Schroedinger model and to the ( 3 | 2 )-supersymmetric model. Their dynamic supersymmetries form the Lie superalgebras osp ( 2 | 2 ) â |