Elements of a Global Operator Approach to Wess-Zumino-Novikov-Witten Models

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dc.creatorSchlichenmaier, Martin
dc.date2000-01-07
dc.date.accessioned2026-07-07T04:33:15Z
dc.date.available2026-07-07T04:33:15Z
dc.descriptionElements of a global operator approach to the WZNW models for compact Riemann surfaces of arbitrary genus g with N marked points were given by Schlichenmaier and Sheinman. This contribution reports on the results. The approach is based on the multi-point Krichever-Novikov algebras of global meromorphic functions and vector fields, and the global algebras of affine type and their representations. Using the global Sugawara construction and the identification of a certain subspace of the vector field algebra with the tangent space to the moduli space of the geometric data, Knizhnik-Zamalodchikov equations are defined. Some steps of the approach of Tsuchia, Ueno and Yamada to WZNW models are presented to compare it with our approach.
dc.description17 pages, Amslatex, Invited talk presented at the 3rd International Workshop on "Lie Theory and Its Applications in Physics - Lie III", 11 - 14 July 1999, Clausthal, Germany
dc.identifierhttps://arxiv.org/abs/math/0001040
dc.identifierhttp://arxiv.org/abs/math/0001040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58502
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subject17B66;17B67;14H10;17B90;30F30;14H55;81R10;81T40
dc.titleElements of a Global Operator Approach to Wess-Zumino-Novikov-Witten Models
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