On Schrödinger superalgebras
| dc.creator | Duval, C. | |
| dc.creator | Horvathy, P. A. | |
| dc.date | 2005-08-11 | |
| dc.date.accessioned | 2026-07-07T12:03:42Z | |
| dc.date.available | 2026-07-07T12:03:42Z | |
| dc.description | We construct, using the supersymplectic framework of Berezin, Kostant and others, two types of supersymmetric extensions of the Schrödinger algebra (itself a conformal extension of the Galilei algebra). An `$I$-type' extension exists in any space dimension, and for any pair of integers $N_+$ and $N_-$. It yields an $N=N_++N_-$ superalgebra, which generalizes the N=1 supersymmetry Gauntlett et al. found for a free spin-$\half$ particle, as well as the N=2 supersymmetry of the fermionic oscillator found by Beckers et al. In two space dimensions, new, `exotic' or `$IJ$-type' extensions arise for each pair of integers $ν_+$ and $ν_-$, yielding an $N=2(ν_++ν_-)$ superalgebra of the type discovered recently by Leblanc et al. in non relativistic Chern-Simons theory. For the magnetic monopole the symmetry reduces to $ø(3)\times\osp(1/1)$, and for the magnetic vortex it reduces to $ø(2)\times\osp(1/2)$. | |
| dc.description | On Schrödinger superalgebras, no figurs. Published version | |
| dc.identifier | https://arxiv.org/abs/hep-th/0508079 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0508079 | |
| dc.identifier | J.Math.Phys.35:2516-2538,1994 | |
| dc.identifier | doi:10.1063/1.530521 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/207877 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On Schrödinger superalgebras | |
| dc.type | text |