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Modular Invariants and Fischer-Griess Monster

Marcin Jankiewicz, Thomas W. Kephart

math-pharXiv:math-ph/0608001

Abstract

We show interesting relations between extremal partition functions of a family of conformal field theories and dimensions of the irreducible representations of the Fischer-Griess Monster sporadic group. We argue that these relations can be interpreted as an extension of Monster moonshine.

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