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Gauged WZW models and Non-abelian duality
We consider WZW models based on the non-semi-simple algebras that they were
recently constructed as contractions of corresponding algebras for semi-simple
groups. We give the explicit expression for the action of these models, as well
as for a generalization of them, and discuss their general properties.
Furthermore we consider gauged WZW models based on these non-semi-simple
algebras and we show that there are equivalent to non-abelian duality
transformations on WZW actions. We also show that a general non-abelian duality
transformation can be thought of as a limiting case of the non-abelian quotient
theory of the direct product of the original action and the WZW action for the
symmetry gauge group . In this action there is no Lagrange multiplier term
that constrains the gauge field strength to vanish. A particular result is that
the gauged WZW action for the coset is equivalent,
in the limit , to the dualized WZW action for with respect
to the subgroup .Comment: 35 pages, harvmac, THU-94/01 (a few minor changes in subsec. 4.1 are
made, a 3rd App. and a Note are added