摘要

We discuss the possibility of Mathieu group M-24 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 M-24 so that we can determine the unique decomposition of expansion coefficients of K3 elliptic genus into irreducible representations of M-24. in this Letter we obtain all the hitherto unknown twisted elliptic genera and find a strong evidence of Mathieu moonshine.

  • 出版日期2011-1-3