Canonical approach to 2D supersymmetric WZNW model coupled to supergravity

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.

LaTeX, 13 pages

References in corpus (5)

• CHIRAL SYMMETRIES OF THE WZNW MODEL BY HAMILTONIAN METHODS
• W-Strings on Group Manifolds
• Canonical approach to 2D WZNW model, non-abelian bosonization and anomalies
• On the Equivalence between 2D Induced Gravity and a WZNW system
• Canonical approach to 2D induced gravity

Cited by in corpus (1)

• Non-Abelian gauge theories invariant under diffeomorphisms