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Constraining the Kähler Moduli in the Heterotic Standard Model

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Abstract

Phenomenological implications of the volume of the Calabi-Yau threefolds on the hidden and observable M-theory boundaries, together with slope stability of their corresponding vector bundles, constrain the set of Kähler moduli which give rise to realistic compactifications of the strongly coupled heterotic string. When vector bundles are constructed using extensions, we provide simple rules to determine lower and upper bounds to the region of the Kähler moduli space where such compactifications can exist. We show how small these regions can be, working out in full detail the case of the recently proposed Heterotic Standard Model. More explicitly, we exhibit Kähler classes in these regions for which the visible vector bundle is stable. On the other hand, there is no polarization for which the hidden bundle is stable.

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Authors and Affiliations

  1. CSIC Instituto de Matemáticas y Fisica Fundamental, Madrid, 28006, Spain

    Tomás L. Gómez

  2. Department of Physics and Astronomy, Rutgers University, Piscataway, NJ, 08855-0849, USA

    Sergio Lukic

  3. Departamento de Álgebra, Facultad de Matemáticas UCM, Madrid, 28040, Spain

    Tomás L. Gómez & Ignacio Sols

Authors
  1. Tomás L. Gómez
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  2. Sergio Lukic
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  3. Ignacio Sols
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Correspondence to Tomás L. Gómez.

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Communicated by M.R. Douglas

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Gómez, T.L., Lukic, S. & Sols, I. Constraining the Kähler Moduli in the Heterotic Standard Model. Commun. Math. Phys. 276, 1–21 (2007). https://doi.org/10.1007/s00220-007-0338-8

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  • DOI: https://doi.org/10.1007/s00220-007-0338-8

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