Canonical approach to 2D supersymmetric WZNW model coupled to supergravity

Details Canonical approach to 2D supersymmetric WZNW model coupled to supergravity Canonical approach to 2D supersymmetric WZNW model coupled to supergravity

2001-11-19

arxiv.org/abs/hep-th/0111162v1

Mod.Phys.Lett. A17 (2002) 1923-1936

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 13 pages

Scientific paper

10.1142/S0217732302008496

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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