English

Modular Invariants and Fischer-Griess Monster

Mathematical Physics 2007-05-23 v1 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0608001,
  title  = {Modular Invariants and Fischer-Griess Monster},
  author = {Marcin Jankiewicz and Thomas W. Kephart},
  journal= {arXiv preprint arXiv:math-ph/0608001},
  year   = {2007}
}

Comments

5 pages, sprinconf.sty included. To appear in the proceedings of 26th International Colloquium on Group Theoretical Methods in Physics, June 26-30 2006, The Graduate Center of the City University of New York