Constraining the Kahler Moduli in the Heterotic Standard Model

Details Constraining the Kahler Moduli in the Heterotic Standard Model Constraining the Kahler Moduli in the Heterotic Standard Model

2005-12-16

arxiv.org/abs/hep-th/0512205v2

Commun.Math.Phys.276:1-21,2007

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, harvmac. Exposition improved, references and one figure added, minor corrections

Scientific paper

10.1007/s00220-007-0338-8

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 Kaehler 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 Kaehler 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 explicitely, we exhibit Kaehler 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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