sl^(2)_{-1/2}:一个实例研究
sl^(2)_{-1/2}: A Case Study
摘要:
重新讨论了基于sl^(2)_{-1/2}的非对数共形场论的构造。在不诉诸自由场方法的情况下,频谱和融合规则的确定是流线型的,并且β-伽马鬼系统被仔细地推导为由唯一的有限阶简单电流产生的扩展代数。给出了模不变性的简要讨论,并明确验证了Verlinde公式。
英文摘要:
The construction of the non-logarithmic conformal field theory based on sl^(2)_{-1/2} is revisited. Without resorting to free-field methods, the determination of the spectrum and fusion rules is streamlined and the beta gamma ghost system is carefully derived as the extended algebra generated by the unique finite-order simple current. A brief discussion of modular invariance is given and the Verlinde formula is explicitly verified.
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