Mirror symmetry for G 2-manifolds: twisted connected sums and dual tops

Braun, Andreas P.; Del Zotto, Michele

Abstract

Recently, at least 50 million of novel examples of compact G 2 holonomy manifolds have been constructed as twisted connected sums of asymptotically cylindrical Calabi-Yau threefolds. The purpose of this paper is to study mirror symmetry for compactifications of Type II superstrings in this context. We focus on G 2 manifolds obtained from building blocks constructed from dual pairs of tops, which are the closest to toric CY hypersurfaces, and formulate the analogue of the Batyrev mirror map for this class of G 2 holonomy manifolds, thus obtaining several millions of novel dual superstring backgrounds. In particular, this leads us to conjecture a plethora of novel exact dualities among the corresponding 2d N = 1 sigma models.

Citation

Braun, A. P., & Del Zotto, M. (2017). Mirror symmetry for G 2-manifolds: twisted connected sums and dual tops. Journal of High Energy Physics, 2017(5), Article 80. https://doi.org/10.1007/jhep05%282017%29080

• Journal Article Type: Article
• Acceptance Date: May 8, 2017
• Online Publication Date: May 15, 2017
• Publication Date: May 15, 2017
• Deposit Date: Oct 22, 2018
• Publicly Available Date: Oct 22, 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: 2017
• Issue: 5
• Article Number: 80
• DOI: https://doi.org/10.1007/jhep05%282017%29080
• Public URL: https://durham-repository.worktribe.com/output/1315828