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

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
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:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3001998