Mathieu moonshine and N = 2 string compactifications

(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) Abstract There is a 'Mathieu moonshine' relating the elliptic genus of K3 to the sporadic group M ^sub 24^. Here, we give evidence that this moonshine extends to part of the web of dualities connecting heterotic st...

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Published in:The journal of high energy physics 2013-09, Vol.2013 (9), p.1
Main Authors: Cheng, Miranda C, N, Dong, Xi, Duncan, John F, R, Harvey, Jeffrey A, Kachru, Shamit, Wrase, Timm
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container_title The journal of high energy physics
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Dong, Xi
Duncan, John F
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Harvey, Jeffrey A
Kachru, Shamit
Wrase, Timm
description (ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) Abstract There is a 'Mathieu moonshine' relating the elliptic genus of K3 to the sporadic group M ^sub 24^. Here, we give evidence that this moonshine extends to part of the web of dualities connecting heterotic strings compactified on K3 × T ^sup 2^ to type IIA strings compactified on Calabi-Yau threefolds. We demonstrate that dimensions of M ^sub 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 ...
doi_str_mv 10.1007/JHEP09(2013)030
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title Mathieu moonshine and N = 2 string compactifications
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