CONICET | Buscador de Institutos y Recursos Humanos

The geometric canonical exterior formalism on group manifold, for the heterotic supersymmetric (1,1) sigma model is constructed. This is done by starting from a classical 2D superconformal theorydescribed by the Wess-Zumino-Witten model, where the world-sheet geometry is the (1,1) superspace. In this framework, the motion equations of the dynamical field and the constraints are found and analyzed from the geometric point of view. It can be seen how the use of the canonical exterior formalism is more adequate and simple because of its manifest covariance in all the steps. The relationship between the form brackets defined in the canonical exterior formalism and the Poisson-brackets is given. Later on, the Dirac-brackets are written by using the second class constraints provided by the canonical exterior formalism. As it can be seen the canonical exterior formalism allows to show how the canonical quantization of the heterotic supersymmetric sigma model is facilitated.