The Faddeev-Jackiw Approach and the Conformal Affine sl(2) Toda Model Coupled to Matter Field
H. Blas, B. M. Pimentel
Abstract
The conformal affine sl(2) Toda model coupled to 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.
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