We study the SU(2] WZNW model over a family of elliptic curves. Starting from the formulation developed in , we derive a system of differential equations which contains the Knizhmk-Zamolodchikov-Bernard equations . Our system completely determines the N-point functions and is regarded as a natural elliptic analogue of the system obtained in  for the projective line. We also calculate the system for the 1-point functions explicitly. This gives a generalization of the results in  for si (2, C)-characters.
Cite this article
Takeshi Suzuki, Differential Equations Associated to the <i>SU</i>(2) WZNW Model on Elliptic Curves. Publ. Res. Inst. Math. Sci. 32 (1996), no. 2, pp. 207–233DOI 10.2977/PRIMS/1195162963