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

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.

Note:

latex, 33 pages, 21 figures

Wess-Zumino-Witten model
coset space
Chern-Simons term
phase space: symplectic
field theory: topological
quantization

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