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).

[img] Text
1410.2603.pdf - Accepted Version

Download (681kB)
[img] Atom XML (admin)
2017-05-12T11:23:36Z.atom - Unspecified
Access to this file is embargoed until Unspecified.

Download (7kB)

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: 16 Apr 2021 11:42
DOI: 10.1007/jhep02(2015)183
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3001998