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Meromorphicc=24 conformal field theories

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Abstract

Modular invariant conformal field theories with just one primary field and central chargec=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 meromorphicc=24 theories, including the 41 that were already known.

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  1. CERN, CH-1211, Geneva 23, Switzerland

    A. N. Schellekens

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  1. A. N. Schellekens
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Communicated by K. Gawedzki

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Schellekens, A.N. Meromorphicc=24 conformal field theories. Commun.Math. Phys. 153, 159–185 (1993). https://doi.org/10.1007/BF02099044

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  • DOI: https://doi.org/10.1007/BF02099044

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