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Abstract: We discuss the possibility of Mathieu group M24 acting as symmetry group onthe K3 elliptic genus as proposed recently by Ooguri, Tachikawa and one of thepresent authors. One way of testing this proposal is to derive the twistedelliptic genera for all conjugacy classes of M24 so that we can determine theunique decomposition of expansion coefficients of K3 elliptic genus intoirreducible representations of M24. In this paper we obtain all the hithertounknown twisted elliptic genera and find a strong evidence of Mathieumoonshine.



Author: Tohru Eguchi, Kazuhiro Hikami

Source: https://arxiv.org/







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