Gauged WZW models and Non-abelian duality

Abstract

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 $H$. 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 $(G_k\otimes H_l)/H_{k+l}$ is equivalent, in the limit $l\to \infty$, to the dualized WZW action for $G_k$ with respect to the subgroup $H$.

35 pages, harvmac, THU-94/01 (a few minor changes in subsec. 4.1 are made, a 3rd App. and a Note are added)

References in corpus (17)

• A WZW model based on a non-semi-simple group
• Celestial Mechanics, Conformal Structures, and Gravitational Waves
• Some Global Aspects of Duality is String Theory
• Derivation of the Verlinde Formula from Chern-Simons Theory and the G/G model
• A Problem with Non-Abelian Duality
• String Propagation in Gravitational Wave Backgrounds
• Nonsemisimple Sugawara Constructions
• A Class of String Backgrounds as a Semiclassical Limit of WZW Models
• Gauging a Non-Semi-Simple WZW Model
• On Bosonic and Supersymmetric Current Algebras for Non-Semi-Simple Groups
• On a `universal' class of WZW-type conformal models
• Antisymmetric tensor coupling and conformal invariance in sigma models corresponding to gauged WZNW theories
• Exact string backgrounds from WZW models based on non-semi-simple groups
• Vanishing of the conformal anomaly for strings in a gravitational wave
• The WZNW Model at Two Loops
• Linearized Form of the Generic Affine-Virasoro Action
• Strings and Singularities

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