Non Trivial Extension of the (1+2)-Poincaré Algebra and Conformal Invariance on the Boundary of $AdS_3$
| dc.creator | Benkaddour, I. | |
| dc.creator | Rhalami, A. El. | |
| dc.creator | Saidi, E. H. | |
| dc.date | 2000-07-18 | |
| dc.date.accessioned | 2026-07-07T12:26:40Z | |
| dc.date.available | 2026-07-07T12:26:40Z | |
| dc.description | Using recent results on string on $AdS_{3}\times N^d$, where N is a d-dimensional compact manifold, we re-examine the derivation of the non trivial extension of the (1+2) dimensional-Poincaré algebra obtained by Rausch de Traubenberg and Slupinsky, refs [1] and [29]. We show by explicit computation that this new extension is a special kind of fractional supersymmetric algebra which may be derived from the deformation of the conformal structure living on the boundary of $AdS_3$. The two so(1,2) Lorentz modules of spin $\pm{1\over k}$ used in building of the generalisation of the (1+2) Poincaré algebra are re-interpreted in our analysis as highest weight representations of the left and right Virasoro symmetries on the boundary of $AdS_3$. We also complete known results on 2d-fractional supersymmetry by using spectral flow of affine Kac-Moody and superconformal symmetries. Finally we make preliminary comments on the trick of introducing Fth-roots of g-modules to generalise the so(1,2) result to higher rank lie algebras g. | |
| dc.description | Latex, 31 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0007142 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0007142 | |
| dc.identifier | Eur.Phys.J.C21:735-747,2001 | |
| dc.identifier | doi:10.1007/s100520100769 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214955 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Non Trivial Extension of the (1+2)-Poincaré Algebra and Conformal Invariance on the Boundary of $AdS_3$ | |
| dc.type | text |