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Moduli restriction and chiral matter in heterotic string compactifications

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Abstract

Supersymmetric heterotic string models, built from a stable holomorphic vector bundle V on a Calabi-Yau threefold X , usually come with many vector bundle moduli whose stabilisation is a difficult and complex task. It is therefore of interest to look for bundle constructions which, from the outset, have as few as possible bundle moduli. One way to reach such a set-up is to start from a generic construction and to make discrete mod- ifications of it which are available only over a subset of the bundle moduli space. Turning on such discrete ‘twists’ constrains the moduli to the corresponding subset of their moduli space: the twisted bundle has less parametric freedom. We give an example of a set-up where this idea can be considered concretely. Such non-generic twists lead also to new contributions of chiral matter (which greatly enhances the flexibility in model building); their computation constitutes the main issue of this note.

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  1. Arnold-Sommerfeld-Center for Theoretical Physics, Department für Physik, Ludwig-Maximilians-Universität München, Theresienstr. 37, 80333, München, Germany

    Gottfried Curio

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Gottfried Curio is supported by DFG grant CU 191/1-1.

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Curio, G. Moduli restriction and chiral matter in heterotic string compactifications. J. High Energ. Phys. 2012, 15 (2012). https://doi.org/10.1007/JHEP01(2012)015

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