Some comments on the integrability of the noncommutative generalized massive Thirring model

Abstract

Some properties of a non-commutative version of the generalized massive Thirring theory (NCGMT) are studied. We develop explicit calculations for the affine Lie algebra $gl(3)$ case. The NCGMT model is written in terms of Dirac type fields corresponding to the Moyal product extension of the ordinary multi-field massive Thirring model. We discuss the Lagrangian formulation, its zero-curvature representation and integrability property of certain submodels.

7 pages, LaTex. Poster contribution to the Fifth International School on Field Theory and Gravitation, Cuiaba', Mato Grosso, MT, Brasil, April 20-24 2009