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Heterotic line bundle standard models. (English) Zbl 1397.81406
Summary: In a previous publication, [J. Gray et al., Comput. Phys. Commun. 180, No. 1, 107–119 (2009; Zbl 1198.81156)], we have found 200 models from heterotic Calabi-Yau compactifications with line bundles, which lead to standard models after taking appropriate quotients by a discrete symmetry and introducing Wilson lines. In this paper, we construct the resulting standard models explicitly, compute their spectrum including Higgs multiplets, and analyze some of their basic properties. After removing redundancies we find about 400 downstairs models, each with the precise matter spectrum of the supersymmetric standard model, with one, two or three pairs of Higgs doublets and no exotics of any kind. In addition to the standard model gauge group, up to four Green-Schwarz anomalous U(1) symmetries are present in these models, which constrain the llowed operators in the four-dimensional effective supergravity. The vector bosons associated to these anomalous $$U(1)$$ symmetries are massive. We explicitly compute the spectrum of allowed operators for each model and present the results, together with the defining data of the models, in a database of standard models accessible here. Based on these results we analyze elementary phenomenological properties. For example, for about 200 models all dimension four and five proton decay violating operators are forbidden by the additional $$U(1)$$ symmetries.

MSC:
 81T70 Quantization in field theory; cohomological methods 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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