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arXiv · hep-th/9411242

On Conformal Properties of the Dualized Sigma-Models

Eugene Tyurin
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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.

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Eugene Tyurin. 1994-12-01. On Conformal Properties of the Dualized Sigma-Models. https://doi.org/10.1016/0370-2693(95)00175-k

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