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

Braun, Andreas P.; Del Zotto, Michele

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


Authors

Michele Del Zotto



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
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

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
© The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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