Families of solutions of the heterotic G$_2$ system
High Energy Physics - Theory
2021-11-29 v1 Differential Geometry
Abstract
We construct new families of solutions of the heterotic G system on squashed homogeneous 3-Sasakian manifolds, that is, using squashed metrics on either the 7-sphere or the Aloff-Wallach space . We obtain AdS solutions for all values of the squashing parameter except for the nearly-parallel G value , for which we don't find any solutions. Along the process, we construct different G-instanton connections on bundles over these squashed manifolds.
Keywords
Cite
@article{arxiv.2111.13221,
title = {Families of solutions of the heterotic G$_2$ system},
author = {Xenia de la Ossa and Mateo Galdeano},
journal= {arXiv preprint arXiv:2111.13221},
year = {2021}
}
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52 pages