A non-reductive N=4 superconformal algebra
| dc.creator | Rasmussen, Jorgen | |
| dc.date | 2001-08-08 | |
| dc.date | 2002-03-01 | |
| dc.date.accessioned | 2026-07-07T10:53:38Z | |
| dc.date.available | 2026-07-07T10:53:38Z | |
| dc.description | A new N=4 superconformal algebra (SCA) is presented. Its internal affine Lie algebra is based on the seven-dimensional Lie algebra su(2)\oplus g, where g should be identified with a four-dimensional non-reductive Lie algebra. Thus, it is the first known example of what we choose to call a non-reductive SCA. It contains a total of 16 generators and is obtained by a non-trivial Inönü-Wigner contraction of the well-known large N=4 SCA. The recently discovered asymmetric N=4 SCA is a subalgebra of this new SCA. Finally, the possible affine extensions of the non-reductive Lie algebra g are classified. The two-form governing the extension appearing in the SCA differs from the ordinary Cartan-Killing form. | |
| dc.description | 10 pages, LaTeX, version to be published | |
| dc.identifier | https://arxiv.org/abs/hep-th/0108054 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0108054 | |
| dc.identifier | J.Phys.A35:2037-2044,2002 | |
| dc.identifier | doi:10.1088/0305-4470/35/8/316 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185547 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | A non-reductive N=4 superconformal algebra | |
| dc.type | text |