Exploring positive monad bundles and a new heterotic standard model
By L. Anderson, James Richard Andrew Gray, Yang-Hui He, André Lukas. 2009
163 citations recorded by the source corpus.
A complete analysis of all heterotic Calabi-Yau compactifications based on positive two-term monad bundles over favourable complete intersection Calabi-Yau threefolds is performed. We show that the original data set of about 7000 models contains 91 standard-like models which we describe in detail. A closer analysis of Wilson-line breaking for these models reveals that none of them gives rise to precisely the matter field content of the standard model. We conclude that the entire set of positive two-term monads on complete intersection Calabi-Yau manifolds is ruled out on phenomenological grounds. We also take a first step in analyzing the larger class of non-positive monads. In particular, we construct a supersymmetric heterotic standard model within this class. This model has the standard model gauge group and an additional U(1)B−L symmetry, precisely three families of quarks and leptons, one pair of Higgs doublets and no anti-families or exotics of any kind.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/17948a3d54aa2de4646331ebc96bdb595ab88b5a
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In Nuclear and High Energy Physics
Citations in the corpus
- Heterotic line bundle standard models (2012, background): “Only a relatively small number of models exhibiting a realistic massless spectrum have been constructed in this way [5, 6, 11, 18], reflecting the considerable technical problems associated with vector bundles on smooth Calabi-Yau manifolds.”
- Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds (2011, methodology): “This is the extremal form of the so-called “split” or reducible bundles first studied in Refs.”