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

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

1999-05-06

arxiv.org/abs/hep-th/9905026v2

Annals Phys. 282 (2000) 67-86

Physics

High Energy Physics

High Energy Physics - Theory

15 pages. Minor changes and references added in section 3

Scientific paper

10.1006/aphy.1999.5995

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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