SU(2) WZNW Model at Higher Genera from Gauge Field Functional Integral

Details SU(2) WZNW Model at Higher Genera from Gauge Field Functional Integral SU(2) WZNW Model at Higher Genera from Gauge Field Functional Integral

1993-12-07

arxiv.org/abs/hep-th/9312051v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, IHES/P/93/66, LaTeX file (Eq. (1.4) got missing factor)

Scientific paper

We compute the gauge field functional integral giving the scalar product of the SU(2) Chern-Simons theory states on a Riemann surface of genus > 1. The result allows to express the higher genera partition functions of the SU(2) WZNW conformal field theory by explicit finite dimensional integrals. Our calculation may also shed new light on the functional integral of the Liouville theory.

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