Ubiquity of non-geometry in heterotic compactifications

García-Etxebarria, Iñaki; Lust, Dieter; Massai, Stefano; Mayrhofer, Christoph

Abstract

We study the effect of quantum corrections on heterotic compactifications on elliptic fibrations away from the stable degeneration limit, elaborating on a recent observation by Malmendier and Morrison. We show that already for the simplest nontrivial elliptic fibration the effect is quite dramatic: the I1 degeneration with trivial gauge background dynamically splits into two T-fects with monodromy around each T-fect being (conjugate to) T-duality along one of the legs of the T 2 . This implies that almost every elliptic heterotic compactification becomes a non-geometric T-fold away from the stable degeneration limit. We also point out a subtlety due to this non-geometric splitting at finite fiber size. It arises when determining, via heterotic/F-theory duality, the SCFTs associated to a small number of pointlike instantons probing heterotic ADE singularities. Along the way we resolve various puzzles in the literature.

Citation

García-Etxebarria, I., Lust, D., Massai, S., & Mayrhofer, C. (2017). Ubiquity of non-geometry in heterotic compactifications. Journal of High Energy Physics, 03, Article 046. https://doi.org/10.1007/jhep03%282017%29046

• Journal Article Type: Article
• Acceptance Date: Feb 25, 2017
• Online Publication Date: Mar 8, 2017
• Publication Date: 2017-03
• Deposit Date: Oct 11, 2018
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 03
• Article Number: 046
• DOI: https://doi.org/10.1007/jhep03%282017%29046
• Public URL: https://durham-repository.worktribe.com/output/1312205
• Related Public URLs: https://arxiv.org/abs/1611.10291