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Spectra of Wess-Zumino-Witten models with arbitrary simple groups. (English) Zbl 0642.22005
This is a geometrical study of two dimensional field theoretical models with fields taking their values in a Lie group (Wess-Zumino-Witten models). The authors extend their previous study in the case of SU(2) or SO(3) to an arbitrary simple group and give an explicit construction of highest weight states and modular invariant partition functions on tori.
Reviewer: C.Itzykson

22E70 Applications of Lie groups to the sciences; explicit representations
58Z05 Applications of global analysis to the sciences
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
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