Abstract

We compute torus correlation functions of holomorphic currents for conformal field theories with an affine SU (2) Kas-Moody algebra, at arbitrary values of the central charge k. For k=1 our results are compared with a calculation using free-fermion currents. It is shown that correlators of the matrix field of the Wess-Zumino-Witten theory satisfy differential equations involving the modular parameter of the torus but not the gauge-field moduli.

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