Note on Twisted Elliptic Genus of K3 Surface

Details Note on Twisted Elliptic Genus of K3 Surface Note on Twisted Elliptic Genus of K3 Surface

2010-08-29

arxiv.org/abs/1008.4924v2

Phys.Lett.B694:446-455,2011

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1016/j.physletb.2010.10.017

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.

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