Extension of Monster Moonshine to c = 24 k Conformal Field
نویسندگان
چکیده
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 = 24 k holomorphic field theories.
منابع مشابه
ar X iv : m at h - ph / 0 60 80 01 v 1 3 1 Ju l 2 00 6 1 Modular Invariants and Fischer - Griess Monster 1
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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