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

Braun, Andreas P. and Del Zotto, Michele (2017) 'Mirror symmetry for G 2-manifolds : twisted connected sums and dual tops.', Journal of high energy physics., 2017 (5). p. 80.


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.

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Publisher 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.
Date accepted:08 May 2017
Date deposited:22 October 2018
Date of first online publication:15 May 2017
Date first made open access:22 October 2018

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