Note on Twisted Elliptic Genus of K3 Surface
arXiv:1008.4924 · doi:10.1016/j.physletb.2010.10.017
Abstract
We discuss the possibility of Mathieu group M24 acting as symmetry group on the K3 elliptic genus as proposed recently by Ooguri, Tachikawa and one of the present authors. One way of testing this proposal is to derive the twisted elliptic genera for all conjugacy classes of M24 so that we can determine the unique decomposition of expansion coefficients of K3 elliptic genus into irreducible representations of M24. In this paper we obtain all the hitherto unknown twisted elliptic genera and find a strong evidence of Mathieu moonshine.
14 pages
References in corpus (7)
- Mock Theta Functions
- Notes on the K3 Surface and the Mathieu group M_24
- Product Representation of Dyon Partition Function in CHL Models
- K3 Surfaces, N=4 Dyons, and the Mathieu Group M24
- Discrete Information from CHL Black Holes
- The symmetries of the tetrahedral Kummer surface in the Mathieu group M_24
- N=2 Superconformal Algebra and the Entropy of Calabi-Yau Manifolds