An infinite class of new conformal field theories with extended algebras
An infinite class of new conformal field theories with extended algebras
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具有扩展代数的无限类新共形场论
DOI：
10.1142/s0217732388000490
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发表时间：
1988
影响因子：
1.4
通讯作者：
F. Ravanini
中科院分区：
文献类型：
--
作者：
F. Ravanini
介绍了一大类具有与陪集 SU(2)⊗SU(2)/SU(2) 上的 GKO 构造相关的扩展 Virasoro 代数的二维共形场论。通过 Feigin-Fuchs 构造，推导出 Kac 公式。最高权重不可约表示的特征是根据 GKO 分解分支函数给出的。构造了模不变配分函数，并详细分析了基于简单李代数三元组的 A-D-E 分类。
A large class of 2D conformal field theories with extended Virasoro algebras related to the GKO construction on the coset SU(2)⊗SU(2)/SU(2) is introduced. Through a Feigin-Fuchs construction the Kac formula is deduced. Characters of the highest-weight irreducible representations are given in terms of the GKO decomposition branching functions. Modular invariant partition functions are constructed and an A-D-E classification based on a triple of simply-laced Lie algebras is analyzed in detail.