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Exploring positive monad bundles and a new heterotic standard model

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Abstract

A complete analysis of all heterotic Calabi-Yau compactifications based on positive two-term monad bundles over favourable complete intersection Calabi-Yau threefolds is performed. We show that the original data set of about 7000 models contains 91 standard-like models which we describe in detail. A closer analysis of Wilson-line breaking for these models reveals that none of them gives rise to precisely the matter field content of the standard model. We conclude that the entire set of positive two-term monads on complete intersection Calabi-Yau manifolds is ruled out on phenomenological grounds. We also take a first step in analyzing the larger class of non-positive monads. In particular, we construct a supersymmetric heterotic standard model within this class. This model has the standard model gauge group and an additional U(1)B−L symmetry, precisely three families of quarks and leptons, one pair of Higgs doublets and no anti-families or exotics of any kind.

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Authors and Affiliations

  1. Department of Physics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA, 19104-6395, U.S.A.

    Lara B. Anderson

  2. Rudolf Peierls Centre for Theoretical Physics, Oxford University, 1 Keble Road, Oxford, OX1 3NP, U.K.

    James Gray, Yang-Hui He & Andre Lukas

  3. Merton College, Oxford, OX1 4JD, U.K.

    Yang-Hui He

  4. Department of Mathematics, City University London, Northampton Square, London, EC1V 0HB, U.K.

    Yang-Hui He

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  1. Lara B. Anderson
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Correspondence to Lara B. Anderson.

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ArXiv ePrint: 0911.1569

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Anderson, L.B., Gray, J., He, YH. et al. Exploring positive monad bundles and a new heterotic standard model. J. High Energ. Phys. 2010, 54 (2010). https://doi.org/10.1007/JHEP02(2010)054

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