Mathieu moonshine and N=2 string compactifications

Miranda C. N. Cheng

doi:10.1007/JHEP09(2013)030

Mathieu moonshine and N=2 string compactifications

2013-09-06

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Miranda C. N. Cheng *

DOI：10.1007/JHEP09(2013)030

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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 x 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.

Keywords:

Extended Supersymmetry

Superstrings and Heterotic Strings

Conformal Field Models in String Theory

Topological Strings

Mathieu moonshine and N=2 string compactifications

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