Parafermionic chiral algebra with the dimension of the principal parafermion fields , ,

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• 作者：Vladimir S. Dotsenko ^{dotsenko@lpthe.jussieu.fr}
• 刊名：Nuclear Physics B
• 出版年：2012
• 期刊代码：45_05503213
• 类别：ph
• 出版时间：1 October, 2012
• 卷：863
• 期：1
• 页码：130-212
• 文件大小：715 K

摘要

We analyze, and prove, the associativity of the new parafermionic chiral algebra which has been announced some time ago, with principal parafermionic fields having the conformal dimension . In doing so we have developed a new method for analyzing the associativity of a given chiral algebra of parafermionic type, the method which might be of a more general significance than a particular conformal field theory studied in detail in this paper. Still, even in the context of our particular chiral algebra, of parafermions with , the new method allowed us to give a proof of associativity which we consider to be complete.