Generalised Moonshine and Holomorphic Orbifolds
Paper in proceedings, 2015

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.

Author

Daniel Persson

Chalmers, Fundamental Physics

R. Volpato

Matthias Gaberdiel

Proceedings of Symposia in Pure Mathematics - Conference on String-Math 2012

2324-707X (ISSN)

Vol. 90 73-86
978-0-8218-9495-8 (ISBN)

Subject Categories

Mathematics

Other Physics Topics

Discrete Mathematics

Roots

Basic sciences

DOI

10.1090/pspum/090/01520

ISBN

978-0-8218-9495-8

More information

Created

10/7/2017