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Vacuum varieties, holomorphic bundles and complex structure stabilization in heterotic theories

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Abstract

We discuss the use of gauge fields to stabilize complex structure moduli in Calabi-Yau three-fold compactifications of heterotic string and M-theory. The requirement that the gauge fields in such models preserve supersymmetry leads to a complicated landscape of vacua in complex structure moduli space. We develop methods to systematically map out this multi-branched vacuum space, in a computable and explicit manner. In analysing the resulting vacua, it is found that the associated Calabi-Yau three-folds are sometimes stabilized at a value of complex structure resulting in a singular compactification manifold. We describe how it is possible to resolve these singularities, in some cases, while maintaining computational control over the moduli stabilization mechanism. The discussion is illustrated throughout the paper with explicit worked examples.

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Authors and Affiliations

  1. Center for the Fundamental Laws of Nature, Jefferson Laboratory, Harvard University, 17 Oxford Street, Cambridge, MA, 02138, U.S.A.

    Lara B. Anderson

  2. Arnold-Sommerfeld-Center for Theoretical Physics, Department für Physik, Ludwig-Maximilians-Universität München, Theresienstraße 37, 80333, München, Germany

    James Gray

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

    Andre Lukas

  4. Department of Physics, University of Pennsylvania, Philadelphia, PA, 19104-6395, U.S.A.

    Burt Ovrut

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

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Anderson, L.B., Gray, J., Lukas, A. et al. Vacuum varieties, holomorphic bundles and complex structure stabilization in heterotic theories. J. High Energ. Phys. 2013, 17 (2013). https://doi.org/10.1007/JHEP07(2013)017

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