On the relation between integrability and infinite-dimensional algebras
| dc.creator | Freeman, M. D. | |
| dc.creator | West, P. | |
| dc.date | 1993-03-19 | |
| dc.date.accessioned | 2026-07-07T04:19:20Z | |
| dc.date.available | 2026-07-07T04:19:20Z | |
| dc.description | We review our work on the relation between integrability and infinite-dimensional algebras. We first consider the question of what sets of commuting charges can be constructed from the current of a \mbox{\sf U}(1) Kac-Moody algebra. It emerges that there exists a set $S_n$ of such charges for each positive integer $n>1$; the corresponding value of the central charge in the Feigin-Fuchs realization of the stress tensor is $c=13-6n-6/n$. The charges in each series can be written in terms of the generators of an exceptional \W-algebra. We show that the \W-algebras that arise in this way are symmetries of Liouville theory for special values of the coupling. We then exhibit a relationship between the \nls equation and the KP hierarchy. From this it follows that there is a relationship between the \nls equation and the algebra \Wi. These examples provide evidence for our conjecture that the phenomenon of integrability is intimately linked with properties of infinite dimensional algebras. | |
| dc.description | (Talk given at the 1992 Johns Hopkins meeting, Goteborg, Sweden), 22 pages, KCL-TH-93-1 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9303119 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9303119 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53509 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the relation between integrability and infinite-dimensional algebras | |
| dc.type | text |