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arXiv · 2111.13221

Families of solutions of the heterotic G$_2$ system

Xenia de la Ossa·Mateo Galdeano
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Abstract

We construct new families of solutions of the heterotic G$_2$ system on squashed homogeneous 3-Sasakian manifolds, that is, using squashed metrics on either the 7-sphere or the Aloff-Wallach space $N_{1,1}$. We obtain AdS$_3$ solutions for all values of the squashing parameter $s$ except for the nearly-parallel G$_2$ value $s=1/\sqrt{5}$, for which we don't find any solutions. Along the process, we construct different G$_2$-instanton connections on bundles over these squashed manifolds.

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Xenia de la Ossa, Mateo Galdeano. 2021-11-25. Families of solutions of the heterotic G$_2$ system. https://arxiv.org/abs/2111.13221

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