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A. Kidambi et al.:
"Calabi-Yau manifolds and sporadic groups";
Talk: Mathematical Physics Journal Club, Institute for Mathematical Sciences, Chennai; 2017-11-30.

One of the recent topics of interest in mathematical string
theory is the study of the Mathieu moonshine and how it is realized in a
string theoretic framework. It has been known for a while that the
elliptic genus of the K3 surface has connections to the dimensions of
the irreducible representations of the M_24 Mathieu group. In this talk,
I shall give an overview of the (Mathieu) moonshine and present the
results of a study of the (twined) elliptic genera expansion of higher
dimensional CY d-folds and study possible relations of the elliptic
genera to sporadic groups. This talk is based on the paper
arxiv.org/abs/1711.09698 [1]

moonshine, calabi-yau, sporadic groups