Compact, Singular $G_2$-Holonomy Manifolds and M/Heterotic/F-Theory Duality

Braun, Andreas P.; Schäfer-Nameki, Sakura

Abstract

We study the duality between M-theory on compact holonomy G2-manifolds and the heterotic string on Calabi-Yau three-folds. The duality is studied for K3-fibered G2-manifolds, called twisted connected sums, which lend themselves to an application of fiber-wise M-theory/Heterotic Duality. For a large class of such G2-manifolds we are able to identify the dual heterotic as well as F-theory realizations. First we establish this chain of dualities for smooth G2-manifolds. This has a natural generalization to situations with non-abelian gauge groups, which correspond to singular G2-manifolds, where each of the K3-fibers degenerates. We argue for their existence through the chain of dualities, supported by non-trivial checks of the spectra. The corresponding 4d gauge groups can be both Higgsable and non-Higgsable, and we provide several explicit examples of the general construction.

Citation

Braun, A. P., & Schäfer-Nameki, S. (2018). Compact, Singular $G_2$-Holonomy Manifolds and M/Heterotic/F-Theory Duality. Journal of High Energy Physics, 2018(04), Article 126. https://doi.org/10.1007/jhep04%282018%29126

• Journal Article Type: Article
• Acceptance Date: Apr 10, 2018
• Online Publication Date: Apr 23, 2018
• Publication Date: 2018-04
• Deposit Date: Dec 13, 2019
• 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: 2018
• Issue: 04
• Article Number: 126
• DOI: https://doi.org/10.1007/jhep04%282018%29126
• Public URL: https://durham-repository.worktribe.com/output/1275267