Mathieu moonshine and mathcal{N}=2 string compactificationsReport as inadecuate

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Journal of High Energy Physics

, 2013:30

First Online: 06 September 2013Received: 09 July 2013Accepted: 12 August 2013 Abstract

There is a ‘Mathieu moonshine’ relating the elliptic genus of K3 to the sporadic group M24. Here, we give evidence that this moonshine extends to part of the web of dualities connecting heterotic strings compactified on K3 × T to type IIA strings compactified on Calabi-Yau threefolds. We demonstrate that dimensions of M24 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 \ {{\mathbb{F}} n} \.

KeywordsExtended Supersymmetry Superstrings and Heterotic Strings Conformal Field Models in String Theory Topological Strings ArXiv ePrint: 1306.4981

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Author: Miranda C. N. Cheng - Xi Dong - John F. R. Duncan - Jeffrey A. Harvey - Shamit Kachru - Timm Wrase


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