Crystallising the Depth Rule for WZNW Fusion Coefficients
| dc.creator | Kirillov, A. N. | |
| dc.creator | Mathieu, P. | |
| dc.creator | Sénéchal, D. | |
| dc.creator | Walton, M. A. | |
| dc.date | 1992-09-29 | |
| dc.date.accessioned | 2026-07-07T04:18:51Z | |
| dc.date.available | 2026-07-07T04:18:51Z | |
| dc.description | Motivated by a formula (due to Zelobenko) for finite Lie algebra tensor products, we propose a reformulation of the Gepner-Witten depth rule. Implementation of this rule remains difficult, however, since the basis states convenient for calculating tensor product coefficients do not have a well-defined depth. To avoid this problem, we present a `crystal depth rule', that gives a lower bound for the minimum level at which a WZNW fusion appears. The bound seems to be quite accurate for $su(N>3),$ and for $su(3)$ the rule is proven to be exact. (Talk presented by M.W. at the XIXth International Colloquium on Group Theoretical Methods in Physics.) | |
| dc.description | 5 pages, harvmac, LETH-PHY-9/92 (LAVAL-PHY-23/92) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9209114 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9209114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53357 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Crystallising the Depth Rule for WZNW Fusion Coefficients | |
| dc.type | text |