The Poisson bracket structure of the SL(2,R)/U(1) gauged WZNW model with periodic boundary conditions

Authors
Muller, U Weigt, G
Citation
U. Muller et G. Weigt, The Poisson bracket structure of the SL(2,R)/U(1) gauged WZNW model with periodic boundary conditions, FORTSCHR PH, 48(1-3), 2000, pp. 179-182
Citations number
13
Categorie Soggetti
Physics
Journal title
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
ISSN journal
00158208 → ACNP
Volume
48
Issue
1-3
Year of publication
2000
Pages
179 - 182
Database
ISI
SICI code
0015-8208(2000)48:1-3<179:TPBSOT>2.0.ZU;2-L
Abstract
The gauged SL(2,R)/U(1) Wess-Zumino-Novikov-Witten (WZNW) model is classica lly an integrable conformal field theory. A second-order differential equat ion of the Gelfand-Dikii type defines the Poisson bracket structure of the theory. For periodic boundary conditions zero modes imply non-local Poisson brackets which, nevertheless, can be represented by canonical free fields.