SL(N) Kac-Moody algebras and Wess-Zumino-Witten models
- Univ. Kaiserslautern (West Germany)
Wess-Zumino-Witten models are conformal invariant versions of two-dimensional {sigma}-models. In this article currents were defined properly from the principal field variable (the group valued field) of the {sigma}-model and their quantum commutators were proved to form a Kac-Moody algebra. Since then representation theory of Kac-Moody algebras and the Wess-Zumino-Witten (WZW) models have remained closely linked. Shortly after Knizhnik and Zamolochikov discovered a kind of first-order differential equations which enabled them to derive four-point functions of SU(N) {times} SU(N) models for particular representations and arbitrary value k. These equations played an important role in later research but will not be used by us.
- OSTI ID:
- 5614797
- Journal Information:
- Annals of Physics (New York); (United States), Vol. 206:2; ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)