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The 24-cell and Calabi-Yau threefolds with Hodge numbers (1,1)

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Abstract

Calabi-Yau threefolds with h 11(X) = h 21(X) = 1 are constructed as free quotients of a hypersurface in the ambient toric variety defined by the 24-cell. Their fundamental groups are SL(2, 3), \( {\mathbb{Z}_{{3}}} \rtimes {\mathbb{Z}_{{8}}} \), and \( \mathbb{Z}{3} \, \times \,\,{\text{Q8}} \).

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  1. Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin, 4, Ireland

    Volker Braun

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  1. Volker Braun
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Correspondence to Volker Braun.

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ArXiv ePrint: 1102.4880

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Braun, V. The 24-cell and Calabi-Yau threefolds with Hodge numbers (1,1). J. High Energ. Phys. 2012, 101 (2012). https://doi.org/10.1007/JHEP05(2012)101

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