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

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.

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