Generalised Moonshine and Holomorphic Orbifolds
High Energy Physics - Theory
2013-02-27 v1 Number Theory
Representation Theory
Abstract
Generalised moonshine is reviewed from the point of view of holomorphic orbifolds, putting special emphasis on the role of the third cohomology group H^3(G, U(1)) in characterising consistent constructions. These ideas are then applied to the case of Mathieu moonshine, i.e. the recently discovered connection between the largest Mathieu group M_24 and the elliptic genus of K3. In particular, we find a complete list of twisted twining genera whose modular properties are controlled by a class in H^3(M_24, U(1)), as expected from general orbifold considerations.
Keywords
Cite
@article{arxiv.1302.5425,
title = {Generalised Moonshine and Holomorphic Orbifolds},
author = {Matthias R. Gaberdiel and Daniel Persson and Roberto Volpato},
journal= {arXiv preprint arXiv:1302.5425},
year = {2013}
}
Comments
Contribution to the Proceedings of String Math 2012; 15 pages