Unitary Representations and BRST Structure of the Quantum Anti--de Sitter Group at Roots of Unity
| dc.creator | Steinacker, Harold | |
| dc.date | 1997-10-10 | |
| dc.date.accessioned | 2026-07-07T05:57:38Z | |
| dc.date.available | 2026-07-07T05:57:38Z | |
| dc.description | It is shown that for suitable roots of unity, there exist finite--dimensional unitary representations of $U_q(so(2,3))$ corresponding to all classical one-particle representations with (half)integer spin, with the correct low-energy limit. In the massless case for spin $\geq 1$, a subspace of "pure gauges'' appears which must be factored out, as classically. Unitary many-particle representations are defined, with the same low-energy states as classically. Furthermore, a remarkable element of the center of $U_q(so(2,3))$ is identified which plays the role of the BRST operator, for any spin. The corresponding ghosts are an intrinsic part of indecomposable representations. | |
| dc.description | 3 pages, one figure using epsf, uses sprocl.sty available at http://www.wspc.demon.co.uk/Styles/procs/ . Submitted to Proc.WigSym5, Vienna, Austria, 25-29 August, 1997 | |
| dc.identifier | https://arxiv.org/abs/q-alg/9710016 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9710016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/88058 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Unitary Representations and BRST Structure of the Quantum Anti--de Sitter Group at Roots of Unity | |
| dc.type | text |