Boundary WZW, G/H, G/G and CS theories

Details Boundary WZW, G/H, G/G and CS theories Boundary WZW, G/H, G/G and CS theories

2001-08-07

arxiv.org/abs/hep-th/0108044v1

Annales Henri Poincare 3 (2002) 847-881

Physics

High Energy Physics

High Energy Physics - Theory

latex, 33 pages, 21 figures

Scientific paper

We extend the analysis of the canonical structure of the Wess-Zumino-Witten theory to the bulk and boundary coset G/H models. The phase spaces of the coset theories in the closed and in the open geometry appear to coincide with those of a double Chern-Simons theory on two different 3-manifolds. In particular, we obtain an explicit description of the canonical structure of the boundary G/G coset theory. The latter may be easily quantized leading to an example of a two-dimensional topological boundary field theory.

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