Dilogarithm identities, fusion rules and structure constants of CFTs
Dilogarithm identities, fusion rules and structure constants of CFTs
复制标题
CFT 的双对数恒等式、融合规则和结构常数
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
Michael Terhoeven
中科院分区：
文献类型：
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作者：
Michael Terhoeven
最近，双对数恒等式出现在物理文献中。这些恒等式似乎允许从它们的融合规则计算结构常数，特别是某些共形场论的有效中心电荷。在参考文献中。12通过考虑特征标函数在所谓的Rogers-Ramanujan和形式中的渐近性，并与模协方差预测的渐近性进行比较，给出了这类恒等式的一个证明。经过提炼，我们得到了某些共形场论的量子维度与恒等式中双对数函数的自变量之间的一般联系，并得到了Rogers-Ramanujan型划分的参数的无限相合性条件，使得它们是模协变的。
Recently dilogarithm identities have made their appearance in the physics literature. These identities seem to allow to calculate structure constants like, in particular, the effective central charge of certain conformal field theories from their fusion rules. In Ref. 12 a proof of identities of this type was given by considering the asymptotics of character functions in the so-called Rogers-Ramanujan sum form and comparing with the asymptotics predicted by modular covariance. Refining the argument, we obtain the general connection of quantum dimensions of certain conformal field theories to the arguments of the dilogarithm function in the identities in question and an infinite set of consistency conditions on the parameters of Rogers-Ramanujan type partitions for them to be modular covariant.