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Exploring a new peak in the heterotic landscape

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Abstract

We study the existence of realistic heterotic vacua on a new Abelian surface fibered Calabi-Yau threefold X with \( {\mathbb{Z}_8} \times {\mathbb{Z}_8} \) fundamental group. Our main result is a no-go theorem, which says that (under mild assumptions) there is no stable holomorphic vector bundle on X satisfying the constraints required by global consistency of the heterotic vacuum and phenomenology. To prove the theorem we explore in some detail the Fourier-Mukai transform of vector bundles on Abelian surface fibrations.

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Authors and Affiliations

  1. American Institute of Mathematics and Stanford University, 360 Portage Ave, Palo Alto, 94306-2244, CA, U.S.A.

    Anthony Bak

  2. Department of Mathematical and Statistical Sciences, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada

    Vincent Bouchard

  3. Department of Mathematics, University of Pennsylvania, David Rittenhouse Lab., 209 South 33rd Street, 19104-6395, Philadelphia, PA, U.S.A.

    Ron Donagi

Authors
  1. Anthony Bak
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  2. Vincent Bouchard
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  3. Ron Donagi
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Correspondence to Vincent Bouchard.

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ArXiv ePrint: 0811.1242v2

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Bak, A., Bouchard, V. & Donagi, R. Exploring a new peak in the heterotic landscape. J. High Energ. Phys. 2010, 108 (2010). https://doi.org/10.1007/JHEP06(2010)108

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  • DOI: https://doi.org/10.1007/JHEP06(2010)108

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