Simple Currents, Modular Invariants and Fixed Points
Simple Currents, Modular Invariants and Fixed Points
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简单电流、模不变量和不动点
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
S. Yankielowicz
中科院分区：
文献类型：
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作者：
A. Schellekens;S. Yankielowicz
我们回顾使用简单的电流在构建模块不变的配分函数和解决其不动点的问题。我们提出了一些新的结果，特别是关于不动点分辨率。提供了额外的经验证据支持我们的猜想，不动点总是与一些共形场论。我们完成了所有单laced和大多数非单laced Kac-Moody代数的不动点共形场论的识别，其中不动点CFT的结果是Kac-Moody代数本身。对于其余的非简单的花边，我们得到的光谱，似乎对应于新的非酉共形场理论。计算了最简单的未识别样本的融合规则。
We review the use of simple currents in constructing modular invariant partition functions and the problem of resolving their fixed points. We present some new results, in particular regarding fixed point resolution. Additional empirical evidence is provided in support of our conjecture that fixed points are always related to some conformal field theory. We complete the identification of the fixed point conformal field theories for all simply laced and most non-simply laced Kac-Moody algebras, for which the fixed point CFT’s turn out to be Kac-Moody algebras themselves. For the remaining non-simply laced ones we obtain spectra that appear to correspond to new non-unitary conformal field theories. The fusion rules of the simplest unidentified example are computed.