Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications

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Apruzzi, Fabio; Gautason, FridrikFreyr; Parameswaran, Susha; Zagermann, Marco (2015): Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications. In: Journal of High Energy Physics 2015 (2015), Nr. 2. DOI: http://dx.doi.org/10.1007/JHEP02(2015)183

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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.
License of this version: CC BY 4.0
Document Type: article
Publishing status: publishedVersion
Issue Date: 2015
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of Germany Germany 102 92.73%
2 image of flag of Russian Federation Russian Federation 2 1.82%
3 image of flag of China China 2 1.82%
4 image of flag of Thailand Thailand 1 0.91%
5 image of flag of India India 1 0.91%
6 image of flag of United Kingdom United Kingdom 1 0.91%
7 image of flag of Brazil Brazil 1 0.91%

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