English

Notes on the K3 Surface and the Mathieu group M_24

High Energy Physics - Theory 2011-03-31 v2 Algebraic Geometry Group Theory Quantum Algebra

Abstract

We point out that the elliptic genus of the K3 surface has a natural decomposition in terms of dimensions of irreducible representations of the largest Mathieu group M_24. The reason is yet a mystery.

Cite

@article{arxiv.1004.0956,
  title  = {Notes on the K3 Surface and the Mathieu group M_24},
  author = {Tohru Eguchi and Hirosi Ooguri and Yuji Tachikawa},
  journal= {arXiv preprint arXiv:1004.0956},
  year   = {2011}
}

Comments

10 pages. v2: published version

R2 v1 2026-06-21T15:07:15.638Z