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

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

2005-10-20

arxiv.org/abs/hep-th/0510178v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, to appear in the proceedings of the "IV International Symposium on Quantum Theory and Symmetries," 15-21 August 2005

Scientific paper

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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