Virasoro Action and Virasoro Constraints on Integrable Hierarchies of the $r$-Matrix Type
| dc.creator | Semikhatov, A. M. | |
| dc.date | 1991-12-06 | |
| dc.date.accessioned | 2026-07-07T04:18:41Z | |
| dc.date.available | 2026-07-07T04:18:41Z | |
| dc.description | For a large class of hierarchies of integrable equations admitting a classical $r-$matrix, we propose a construction for the Virasoro algebra actionon the Lax operators which commutes with the hierarchy flows. The construction relies on the existence of dressing transformations associated to the $r$-matrix and does not involve the notion of a tau function. The dressing-operator form of the Virasoro action gives the corresponding formulation of the Virasoro constraints on hierarchies of the $r-$matrix type. We apply the general construction to several examples which include KP, Toda and generalized KdV hierarchies, the latter both in scalar and the Drinfeld-Sokolov formalisms. We prove the consistency of Virasoro action on the scalar and matrix (Drinfeld-Sokolov) Lax operators, and make an observation on the difference in the form of string equations in the two formalisms. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9112016 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9112016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53279 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Virasoro Action and Virasoro Constraints on Integrable Hierarchies of the $r$-Matrix Type | |
| dc.type | text |