Apruzzi, Fabio, Gautason, Fridrik Freyr, Parameswaran, Susha and Zagermann, Marco
(2015)
Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications.
Journal of High Energy Physics, 2015 (2).
183-.
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Abstract
We study to what extent Wilson lines in heterotic Calabi-Yau compactifications lead to non-trivial H-flux via Chern-Simons terms. Wilson lines are basic ingredients for Standard Model constructions but their induced H-flux may affect the consistency of the leading order background geometry and of the two-dimensional worldsheet theory. Moreover H-flux in heterotic compactifications would play an important role for moduli stabilization and could strongly constrain the supersymmetry breaking scale. We show how to compute H-flux and the corresponding superpotential, given an explicit complete intersection Calabi-Yau compactification and choice of Wilson lines. We do so by identifying large classes of special Lagrangian submanifolds in the Calabi-Yau, understanding how the Wilson lines project onto these submanifolds, and computing their Chern-Simons invariants. We illustrate our procedure with the quintic hypersurface as well as the split-bicubic, which can provide a potentially realistic three generation model.
Item Type: | Article |
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Uncontrolled Keywords: | flux compactifications, compactification and string models, superstrings and heterotic strings, superstring vacua |
Depositing User: | Symplectic Admin |
Date Deposited: | 04 Jul 2016 10:52 |
Last Modified: | 15 Mar 2024 09:04 |
DOI: | 10.1007/jhep02(2015)183 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3001998 |