Conformal Field Theories

Conformal Field Theories
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共形场论

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发表时间:
2008
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通讯作者:
A. Schellekens
A. Schellekens
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作者:
A. Schellekens

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考虑了只有一个主场和中心电荷c=24的模不变保形场论。以前已经证明,如果这样一个理论的手征代数包含自旋1流,那么它要么是Leech格子CFT,要么包含一个中心电荷总数为24的Kac-Moody子代数。本文得到了所允许的Kac-Moody组合的所有亚纯模不变组合。这一结果表明存在71个亚纯c=24理论,其中包括已知的41个理论。欧洲核子研究组织--TH.6478/92 1992年4月--HEP-TH/9205072
Modular invariant conformal field theories with just one primary field and central charge c = 24 are considered. It has been shown previously that if the chiral algebra of such a theory contains spin-1 currents, it is either the Leech lattice CFT, or it contains a Kac-Moody sub-algebra with total central charge 24. In this paper all meromorphic modular invariant combinations of the allowed Kac-Moody combinations are obtained. The result suggests the existence of 71 meromorphic c = 24 theories, including the 41 that were already known. CERN–TH.6478/92 April 1992 — hep-th/9205072