The Faddeev–Jackiw Approach and the Conformal Affine sl(2) Toda Model Coupled to the Matter Field

✍ Scribed by H.S. Blas; B.M. Pimentel

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 163 KB
• Volume: 282
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1999.5995

✦ Synopsis

The conformal affine sl(2) Toda model coupled to the matter field is treated as a constrained system in the context of Faddeev Jackiw and the (constrained) symplectic schemes. We recover from this theory either the sine-Gordon or the massive Thirring model, through a process of Hamiltonian reduction, considering the equivalence of the Noether and topological currrents as a constraint and gauge fixing the conformal symmetry.