Parafermionic Reductions of WZW Model
| dc.creator | Gomes, J. F. | |
| dc.creator | Sotkov, G. M. | |
| dc.creator | Zimerman, A. H. | |
| dc.date | 1998-03-27 | |
| dc.date.accessioned | 2026-07-07T04:24:24Z | |
| dc.date.available | 2026-07-07T04:24:24Z | |
| dc.description | We investigate a class of conformal Non-Abelian-Toda models representing a noncompact $SL(2,R)/U(1)$ parafermionions (PF) interacting with a specific abelian Toda theories and having a global U(1) symmetry. A systematic derivation of the conserved currents, their algebras and the exact solution of these models is presented. An important property of this class of models is the affine $SL(2,R)_q$ algebra spanned by charges of the chiral and antichiral nonlocal currents and the U(1) charge. The classical (Poisson Brackets) algebras of symmetries $V{G_n}$ of these models appears to be of mixed PF-$W{G_n}$ type. They contain together with the local quadratic terms specific for the $W_n$-algebras the nonlocal terms similar to the ones of the classical PF-algebra. The renormalization of the spins of the nonlocal currents is the main new feature of the quantum $V{A_n}$-algebras. The quantum $V{A_2}$-algebra and its degenerate representations are studied in detail. | |
| dc.description | 63 pages, latex file (run twice) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9803234 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9803234 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55399 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Parafermionic Reductions of WZW Model | |
| dc.type | text |