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We study the SU(2] WZNW model over a family of elliptic curves. Starting from the formulation developed in [13], we derive a system of differential equations which contains the Knizhmk-Zamolodchikov-Bernard equations [1][9]. Our system completely determines the AT-point functions and is regarded as a natural elliptic analogue of the system obtained in [12] for the projective line. We also calculate the system for the 1-point functions explicitly. This gives a generalization of the results in [7] for si (2, C)-characters.

Differential equations associated to the {${\rm SU}(2)$} WZNW model on elliptic curves