Compact, Singular G2-Holonomy Manifolds and M/Heterotic/F-Theory Duality
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.
Keywords
Cite
@article{arxiv.1708.07215,
title = {Compact, Singular G2-Holonomy Manifolds and M/Heterotic/F-Theory Duality},
author = {Andreas P. Braun and Sakura Schafer-Nameki},
journal= {arXiv preprint arXiv:1708.07215},
year = {2018}
}
Comments
48 pages, 4 figures