Wakimoto construction in the principal gradation
| dc.creator | Bougourzi, A. H. | |
| dc.date | 1996-04-28 | |
| dc.date.accessioned | 2026-07-07T09:16:55Z | |
| dc.date.available | 2026-07-07T09:16:55Z | |
| dc.description | It is well known that the bosonized version of the Wakimoto construction allows the explicit realization of any affine algebra $\widehat{g}$, with arbitrary level $k$ in the homogeneous gradation, in terms of $dim(g)$ free bosonic fields. In this paper, we show in the case of the simplest affine algebra $\widehat{sl(2)}$, that the bosonized Wakimoto realization can be extended to the principal gradation only when $k$ is equal to the critical level, i.e., -2. In this case, this construction can be achieved in terms of arbitrary number (larger than 1) of free bosonic fields. | |
| dc.description | 8 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/q-alg/9604020 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9604020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153526 | |
| dc.subject | Quantum Algebra | |
| dc.title | Wakimoto construction in the principal gradation | |
| dc.type | text |