1306.4981 (Miranda Cheng et al.)

Mathieu Moonshine and N=2 String Compactifications    [PDF]

Miranda Cheng, Xi Dong, John Duncan, Jeffrey Harvey, Shamit Kachru, Timm Wrase

There is a `Mathieu moonshine' relating the elliptic genus of K3 to the sporadic group M_{24}. Here, we give evidence that this moonshine extends to part of the web of dualities connecting heterotic strings compactified on K3 \times T^2 to type IIA strings compactified on Calabi-Yau threefolds. We demonstrate that dimensions of M_{24} representations govern the new supersymmetric index of the heterotic compactifications, and appear in the Gromov--Witten invariants of the dual Calabi-Yau threefolds, which are elliptic fibrations over the Hirzebruch surfaces F_n.

View original: http://arxiv.org/abs/1306.4981