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Extension of Monster Moonshine to c=24k Conformal Field Theories

Marcin Jankiewicz·Thomas W. Kephart
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Abstract

We present a family of conformal field theories (or candidates for CFTs) that is build on extremal partition functions. Spectra of these theories can be decomposed into the irreducible representations of the Fischer-Griess Monster sporadic group. Interesting periodicities in the coefficients of extremal partition functions are observed and interpreted as a possible extension of Monster moonshine to c=24k holomorphic field theories.

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Marcin Jankiewicz, Thomas W. Kephart. 2005-10-20. Extension of Monster Moonshine to c=24k Conformal Field Theories. https://arxiv.org/abs/hep-th/0510178

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