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

Fabio Apruzzi*, Fridrik Freyr Gautason, Susha Parameswaran, Marco Zagermann

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number183
JournalJournal of High Energy Physics
Volume2015
Issue number2
DOIs
Publication statusPublished - Feb 2015

Bibliographical note

Publisher Copyright:
© 2015, The Author(s).

Other keywords

  • Compactification and String Models
  • Flux compactifications
  • Superstring Vacua
  • Superstrings and Heterotic Strings

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