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arXiv · hep-th/0111162

Canonical approach to 2D supersymmetric WZNW model coupled to supergravity

O. Miskovic·B. Sazdovic
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Abstract

Starting from the known representation of the Kac-Moody algebra in terms of the coordinates and momenta, we extend it to the representation of the super Kac-Moody and super Virasoro algebras. Then we use general canonical method to construct an action invariant under local gauge symmetries, where components of the super energy-momentum tensor $L_\pm$ and $G_\pm$ play the role of the diffeomorphisms and supersymmetries generators respectively. We obtain covariant extension of WZNW theory with respect to local supersymmetry as well as explicit expressions for gauge transformations.

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O. Miskovic, B. Sazdovic. 2001-11-19. Canonical approach to 2D supersymmetric WZNW model coupled to supergravity. https://doi.org/10.1142/s0217732302008496

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