On the classical connection between the WZWN model and topological gauge theories with boundaries

Details On the classical connection between the WZWN model and topological gauge theories with boundaries On the classical connection between the WZWN model and topological gauge theories with boundaries

2000-01-19

arxiv.org/abs/hep-th/0001114v1

Phys.Rev. D62 (2000) 026005

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX

Scientific paper

10.1103/PhysRevD.62.026005

It is shown, at the level of the classical action, that the Wess-Zumino-Witten-Novikov model is equivalent to a combined BF theory and a Chern-Simons action in the presence of a unique boundary term. This connection relies on the techniques of non-Abelian T-duality in non-linear sigma models. We derive some consistency conditions whose various solutions lead to different dual theories. Particular attention is paid to the cases of the Lie algebras SO(2,1) and SO(2,1)*SO(2,1). These are shown to yield three dimensional gravity only if the BF term is ignored.

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