Constraining the Kahler Moduli in the Heterotic Standard Model
arXiv:hep-th/0512205 · doi:10.1007/s00220-007-0338-8
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 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.
arXiv comment28 pages, harvmac. Exposition improved, references and one figure added, minor corrections
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- Brill-Noether-general Limit Root Bundles: Absence of vector-like Exotics in F-theory Standard Models
- Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models
- Improved statistics for F-theory standard models