Generalised Moonshine and Holomorphic Orbifolds
Paper i proceeding, 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.

Författare

Daniel Persson

Chalmers, Fundamental fysik

R. Volpato

Matthias Gaberdiel

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

2324-707X (ISSN)

Vol. 90 73-86

Ämneskategorier

Matematik

Annan fysik

Diskret matematik

Fundament

Grundläggande vetenskaper

DOI

10.1090/pspum/090/01520

ISBN

978-0-8218-9495-8

Mer information

Skapat

2017-10-07