Generalised Mathieu Moonshine
High Energy Physics - Theory
2014-01-17 v3 Number Theory
Quantum Algebra
Abstract
The Mathieu twisted twining genera, i.e. the analogues of Norton's generalised Moonshine functions, are constructed for the elliptic genus of K3. It is shown that they satisfy the expected consistency conditions, and that their behaviour under modular transformations is controlled by a 3-cocycle in H^3(M_24,U(1)), just as for the case of holomorphic orbifolds. This suggests that a holomorphic VOA may be underlying Mathieu Moonshine.
Cite
@article{arxiv.1211.7074,
title = {Generalised Mathieu Moonshine},
author = {Matthias R. Gaberdiel and Daniel Persson and Henrik Ronellenfitsch and Roberto Volpato},
journal= {arXiv preprint arXiv:1211.7074},
year = {2014}
}
Comments
71 pages; (v2) ancillary files correctly included; (v3) (final version), minor improvements, completed proof in sec. 3.3, tables added, references added