On Non-Abelian Duality

Details On Non-Abelian Duality On Non-Abelian Duality

1994-03-25

arxiv.org/abs/hep-th/9403155v4

Nucl.Phys. B424 (1994) 155-183

Physics

High Energy Physics

High Energy Physics - Theory

34 p, LaTex, preprint CERN-TH-7204/94, problems with the generation of ps and pdf solved

Scientific paper

10.1016/0550-3213(94)90093-0

A general study of non-abelian duality is presented. We first identify a possible obstruction to the conformal invariance of the dual theory for non-semisimple groups. We construct the exact non-abelian dual for any Wess-Zumino-Witten (WZW) model for any anomaly free subgroup, and the corresponding extension for coset conformal field theories. We characterize the exact non-abelian dual for $\sigma$-models with chiral isometries and extend the standard notion of duality to anomalous subgroups of WZW models, thus giving a way of constructing dual transformations for different groups on the left and on the right. We also present some new examples of non-abelian duality for four-dimensional gravitational instantons.

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