CHARACTER FORMULAE AND THE STRUCTURE OF THE REPRESENTATIONS OF THE N=1, N=2 SUPERCONFORMAL ALGEBRAS

CHARACTER FORMULAE AND THE STRUCTURE OF THE REPRESENTATIONS OF THE N=1, N=2 SUPERCONFORMAL ALGEBRAS
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DOI:
10.1142/s0217751x88000795
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发表时间:
1988
影响因子:
1.6
通讯作者:
E. Kiritsis
E. Kiritsis
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
E. Kiritsis

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分析了N=1和N=2超共形代数的酉表示。研究了所有退化表示的嵌入结构。导出了退化表示的特征公式,包括那些。探讨了二维临界统计系统的特征与精确配分函数之间的关系。从群理论的角度分析了N=2超共形系统,证明了它是N=1, N=2 /3理论的子部门。
The unitary representations of the N=1 and N=2 superconformal algebras are analyzed. The embedding structure of all the degenerate representations is studied. Character formulae are derived for the degenerate representations including those which . The relation between characters and the exact partition functions of 2-d critical statistical systems is explored. The , N=2 superconformal system is analyzed from the group theoretic point of view and it is shown to be a subsector of the N=1, ĉ=2/3 theory.