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arXiv · hep-th/9403155

On Non-Abelian Duality

Enrique Álvarez·Luis Álvarez-Gaumé·Yolanda Lozano
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Abstract

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 $σ$-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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Enrique Álvarez, Luis Álvarez-Gaumé, Yolanda Lozano. 2004-11-29. On Non-Abelian Duality. https://doi.org/10.1016/0550-3213(94)90093-0

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