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The MSSM spectrum from (0,2)-deformations of the heterotic standard embedding

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Abstract

We construct supersymmetric compactifications of E 8×E 8 heterotic string theory which realise exactly the massless spectrum of the Minimal Supersymmetric Standard Model (MSSM) at low energies. The starting point is the standard embedding on a Calabi-Yau threefold which has Hodge numbers (h 1,1, h 2,1) = (1, 4) and fundamental group \( {\mathbb{Z}_{{12}}} \), which gives an E 6 grand unified theory with three net chiral generations. The gauge sym- metry is then broken to that of the standard model by a combination of discrete Wilson lines and continuous deformation of the gauge bundle. On eight distinct branches of the moduli space, we find stable bundles with appropriate cohomology groups to give exactly the massless spectrum of the MSSM.

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Authors and Affiliations

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

    Volker Braun

  2. Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford, OX1 3LB, UK

    Philip Candelas & Rhys Davies

  3. Department of Mathematics, University of Pennsylvania, Philadelphia, PA, 19104-6395, USA

    Ron Donagi

Authors
  1. Volker Braun
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  2. Philip Candelas
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  3. Rhys Davies
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  4. Ron Donagi
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Corresponding author

Correspondence to Rhys Davies.

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ArXiv ePrint: 1112.1097

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Braun, V., Candelas, P., Davies, R. et al. The MSSM spectrum from (0,2)-deformations of the heterotic standard embedding. J. High Energ. Phys. 2012, 127 (2012). https://doi.org/10.1007/JHEP05(2012)127

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