Canonical approach to 2D supersymmetric WZNW model coupled to supergravity
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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+/- and G(+/-) play the role of the diffeomorphisms and supersymmetry generators respectively. We obtain covariant extension of WZNW theory with respect to local supersymmetry as well as explicit expressions for gauge transformations.
Кључне речи:Wess-Zumino-Novikov-Witten (WZNW) / Virasoro algebra / 2D supergravity / canonical methods
Извор:Modern Physics Letters A, 2002, 17, 29, 1923-1936
ISSN: 0217-7323 (print); 1793-6632 (electronic)