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

摘要

We compute the gauge field functional integral giving the scalar product of theSU(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.