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

1993/12/07 by Krzysztof Gawedzki, Gawedzki, Krzysztof
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9312051

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

arxiv created 1993/12/08 · arxiv updated 2009/11/30

Abstract

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.

Related

• H⁺₃ WZNW model from Liouville field theory
• Gauge/Bethe correspondence on S¹ × Σ_h and index over moduli space
• Instanton Counting and Chern-Simons Theory
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Abelian Varieties, RCFTs, Attractors, and Hitchin Functional in Two Dimensions