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We construct super vertex operator algebras which lead to modules for moonshine relations connecting the four smaller sporadic simple Mathieu groups with distinguished mock modular forms.
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J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups
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T. Gannon, Moonshine beyond the Monster: The bridge connecting algebras, modular forms, and physics
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J. F. Duncan, “Super-moonshine for Conway’s largest sporadic group,” Duke Math. J., 139(2):255-315, 2007. arXiv:math/0502267
2007
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2012
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2013
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2010
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M. R. Gaberdiel, S. Hohenegger and R. Volpato, “Mathieu twining characters for K3,” JHEP 1009
2010
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2010
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2011
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T. Eguchi and K. Hikami, “Note on Twisted Elliptic Genus of K3 Surface,” Phys. Lett. B 694
2011
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2011
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2012
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2014
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2014
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2014
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J. A. Harvey and S. Murthy, “Moonshine in Fivebrane Spacetimes,” JHEP 1401
2014
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2014
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T. Wrase, “Mathieu moonshine in four dimensional 𝒩 = 1 \mathcal{N}=1 theories,” JHEP 1404
2014
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K. Ono, L. Rolen, and S. Trebat-Leder, Classical and Umbral Moonshine: Connections and p p -adic Properties , J. Ramanujan Math. Soc., to appear (ArXiv e-prints (2014))
2014
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