2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149184We study the $SU(2)$ WZNW model over a family of elliptic curves. Starting from the formulation developed by Tsuchiya, Ueno and Yamada, we derive a system of differential equations which contains the Knizhnik-Zamolodchikov-Bernard equations. Our system completely determines the $N$-point functions and it is regarded as a natural elliptic analogue of the one developed by Tsuchiya and Kanie for the projective line. We also calculate the system for the 1-point functions explicitly. This gives a generalization of the system for $\hat\frak{sl}(2,\C)$-characters derived by Eguchi and Ooguri.24 pages, AMS-Tex Version 2.1, no figuresHigh Energy Physics - Theorytext