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

dc.creatorSuzuki, Takeshi
dc.date1994-12-26
dc.date1995-01-24
dc.date.accessioned2026-07-07T09:03:54Z
dc.date.available2026-07-07T09:03:54Z
dc.descriptionWe 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.
dc.description24 pages, AMS-Tex Version 2.1, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/9412219
dc.identifierhttp://arxiv.org/abs/hep-th/9412219
dc.identifierPubl.Res.Inst.Math.Sci.Kyoto 32 (1996) 207-233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149184
dc.subjectHigh Energy Physics - Theory
dc.titleDifferential Equations Associated to The SU(2) WZNW Model on Elliptic Curves
dc.typetext

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