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

摘要

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