Non-linear finite $W$-symmetries and applications in elementary systems
| dc.creator | de Boer, Jan | |
| dc.creator | Harmsze, Frederique | |
| dc.creator | Tjin, Tjark | |
| dc.date | 1995-03-23 | |
| dc.date.accessioned | 2026-07-07T10:58:34Z | |
| dc.date.available | 2026-07-07T10:58:34Z | |
| dc.description | In this paper it is stressed that there is no {\em physical} reason for symmetries to be linear and that Lie group theory is therefore too restrictive. We illustrate this with some simple examples. Then we give a readable review on the theory finite $W$-algebras, which is an important class of non-linear symmetries. In particular, we discuss both the classical and quantum theory and elaborate on several aspects of their representation theory. Some new results are presented. These include finite $W$ coadjoint orbits, real forms and unitary representation of finite $W$-algebras and Poincare-Birkhoff-Witt theorems for finite $W$-algebras. Also we present some new finite $W$-algebras that are not related to $sl(2)$ embeddings. At the end of the paper we investigate how one could construct physical theories, for example gauge field theories, that are based on non-linear algebras. | |
| dc.description | 88 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9503161 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9503161 | |
| dc.identifier | Phys.Rept.272:139-214,1996 | |
| dc.identifier | doi:10.1016/0370-1573(95)00075-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187149 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Non-linear finite $W$-symmetries and applications in elementary systems | |
| dc.type | text |