Speaker
Description
We consider a two-dimensional field theory which is a deformation of the integrable Toda model coupled
to matter field. With the following Lagrangian
$$
\frac{1}{\kappa} {\cal L}=\frac{1}{4}\partial_{\mu }\varphi \partial ^{\mu }\varphi +i\overline{\chi }\gamma ^{\mu}\partial _{\mu }\chi -M \overline{\chi }e^{ 2 i (\varphi + r \theta)
\gamma _{5}}\chi +\lambda_{\mu}(2\overline{\chi}\gamma^{\mu}\chi-\epsilon^{\mu\nu}\partial_{\nu}(\varphi + v \theta)).
$$
It is treated as a constrained system in the context of Faddeev-Jackiw and constrained symplectic formalism. 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 currents modifieds as a constraint.
