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arXiv · 1306.4981

Mathieu Moonshine and N=2 String Compactifications

Miranda C. N. Cheng·Xi Dong·John F. R. Duncan·Jeffrey A. Harvey·Shamit Kachru·Timm Wrase
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Abstract

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.

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Miranda C. N. Cheng, Xi Dong, John F. R. Duncan, Jeffrey A. Harvey, Shamit Kachru, Timm Wrase. 2013-06-20. Mathieu Moonshine and N=2 String Compactifications. https://doi.org/10.1007/jhep09(2013)030

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