Integration of the SL(2,R)/U(1) Gauged WZNW Theory by Reduction and Quantum Parafermions

2000/03/31 by C. Ford, G. Jorjadze, G. Weigt
Physics and Astronomy · #hep-th

paper · pdf

published as Theor.Math.Phys. 128 (2001) 1046-1060; Teor.Mat.Fiz. 128 (2001) 249-267 · 21 pages. In chapter 5 the symplectic 2-form rather than the 1-form is considered. Misprints in equations 65 and 86 (66 and A7 in the old version) corrected. Stylistic changes. Theor. Math. Phys., in press

arxiv created 2001/03/21 · arxiv updated 2009/11/30

Abstract

Using a gauge invariant reduction we directly integrate the SL(2,R)/U(1) WZNW theory. We prove that the conserved parafermions of this theory are coset currents. Quantum mechanically, the parafermion algebra, the energy-momentum tensor, and `auxiliary' parafermions are deformed in a self-consistent manner.

Related

• Joint Description of Periodic SL(2,R) WZNW Model and Its Coset Theories
• Parafermionic Reductions of WZW Model
• The Nonlinear Schrodinger Equation and Conserved Quantities in the Deformed Parafermion and SL(2,R)/U(1) Coset Models
• The W_k structure of the Z_k^(3/2) models
• Quantum currents in the Coset Space SU(2)/U(1)