Gauged WZW models and non-Abelian duality

Journal Article · Mon Aug 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.2784· OSTI ID:7161547

Sfetsos, K ^[1]

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1. Institute for Theoretical Physics, Utrecht University, Princetonplein 5, TA 3508 (Netherlands)

We consider WZW models based on the non-semi-simple algebras that were recently constructed as contractions of corresponding algebras for semisimple 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 they 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 [ital 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 ([ital G][sub [ital k]][direct product][ital H][sub [ital l]])/[ital H][sub [ital k]+[ital l]] becomes in a certain limit, involving [ital l][r arrow][infinity], the dualized WZW action for [ital G][sub [ital k]] with respect to the subgroup [ital H].

• OSTI ID: 7161547
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 50:4; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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