Jankiewicz, Marcin M.; Kephart, T. W. Extension of monster moonshine to \(c = 24k\) conformal field theories. (English) Zbl 1275.81078 Bulg. J. Phys. 33, No. S1, 416-420 (2006). Summary: 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.For related results see the authors’ paper in Nucl. Phys., B 744, No. 3, 380–397 (2006; Zbl 1214.81248). Cited in 1 Document MSC: 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics 20D08 Simple groups: sporadic groups 11F22 Relationship to Lie algebras and finite simple groups 17B69 Vertex operators; vertex operator algebras and related structures 81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations Citations:Zbl 1214.81248 PDFBibTeX XMLCite \textit{M. M. Jankiewicz} and \textit{T. W. Kephart}, Bulg. J. Phys. 33, No. S1, 416--420 (2006; Zbl 1275.81078) Full Text: arXiv