English

Mathieu twining characters for K3

High Energy Physics - Theory 2012-01-16 v1

Abstract

The analogue of the McKay-Thompson series for the proposed Mathieu group action on the elliptic genus of K3 is analysed. The corresponding NS-sector twining characters have good modular properties and satisfy remarkable replication identities. These observations provide strong support for the conjecture that the elliptic genus of K3 carries indeed an action of the Mathieu group M24.

Cite

@article{arxiv.1006.0221,
  title  = {Mathieu twining characters for K3},
  author = {Matthias R. Gaberdiel and Stefan Hohenegger and Roberto Volpato},
  journal= {arXiv preprint arXiv:1006.0221},
  year   = {2012}
}

Comments

19 pages

R2 v1 2026-06-21T15:30:39.597Z