The Heterotic Supersymmetric Sigma Model in the Canonical Exterior Formalism |
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Authors: | O S Zandron |
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Institution: | (1) Facultad de Ciencias Exactas Ingeniería y Agrimensura de la UNR, Av. Pellegrini 250, 2000 Rosario, Argentina |
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Abstract: | Starting from a classical 2D superconformal theory described by the Wess–Zumino–Witten action, the canonical exterior formalism
on group manifold for the heterotic supersymmetric sigma model is constructed. 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 written. 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.
Member of the Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina. |
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Keywords: | |
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