Differential Equations Associated to The SU(2) WZNW Model on Elliptic Curves

Takeshi Suzuki

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arXiv · hep-th/9412219

Differential Equations Associated to The SU(2) WZNW Model on Elliptic Curves

Takeshi Suzuki

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Abstract

We 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.

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Takeshi Suzuki. 1995-01-24. Differential Equations Associated to The SU(2) WZNW Model on Elliptic Curves. https://arxiv.org/abs/hep-th/9412219

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