On Conformal Properties of the Dualized Sigma-Models

Abstract

We have calculated the first-order beta-functions for a sigma-model ( with dilaton) dualized with respect to an arbitrary Lie group that acts without isotropy. We find that non-abelian duality preserves conformal invariance for semi-simple groups, but in general there is an extra contribution to the beta-function proportional to the trace of the structure constants, which cannot be absorbed into an additional dilaton shift. Two particular examples, a Bianchi V cosmological background and the G \otimes G WZW model, are discussed.

12 pages, LaTeX 2e with fleqn.sty (removed the Stony Brook emblem which was causing problems)

References in corpus (2)

• An Introduction to T-Duality in String Theory
• Introduction to Duality

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• WZW models as mutual super Poisson-Lie T-dual sigma models
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• Non-Abelian Duality in the String Effective Action
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• Anti-field Formalism and Non-Abelian Duality
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