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Heterotic bundles on Calabi-Yau manifolds with small Picard number

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Abstract

We undertake a systematic scan of vector bundles over spaces from the largest database of known Calabi-Yau three-folds, in the context of heterotic string compactification. Specifically, we construct positive rank five monad bundles over Calabi-Yau hypersurfaces in toric varieties, with the number of Kähler moduli equal to one, two, and three and extract physically interesting models. We select models which can lead to three families of matter after dividing by a freely-acting discrete symmetry and including Wilson lines. About 2000 such models on two manifolds are found.

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Authors and Affiliations

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

    Yang-Hui He & Maximilian Kreuzer

  2. School of Physics, NanKai University, Tianjin, 300071, P.R. China

    Yang-Hui He & Maximilian Kreuzer

  3. Merton College, University of Oxford, Oxford, OX14JD, U.K.

    Yang-Hui He & Maximilian Kreuzer

  4. School of Physics, Korea Institute for Advanced Study, Seoul, 130-722, Korea

    Maximilian Kreuzer & Seung-Joo Lee

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

    Maximilian Kreuzer & Andre Lukas

Authors
  1. Yang-Hui He
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  2. Maximilian Kreuzer
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  3. Seung-Joo Lee
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  4. Andre Lukas
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Correspondence to Yang-Hui He.

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ArXiv ePrint: 1108.1031

In memoriam Maximilian Kreuzer

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He, YH., Kreuzer, M., Lee, SJ. et al. Heterotic bundles on Calabi-Yau manifolds with small Picard number. J. High Energ. Phys. 2011, 39 (2011). https://doi.org/10.1007/JHEP12(2011)039

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