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Counting associatives in compact $G_2$ orbifolds (2019)
Journal Article
Acharya, B. S., Braun, A. P., Svanes, E. E., & Valandro, R. (2019). Counting associatives in compact $G_2$ orbifolds. Journal of High Energy Physics, 03, Article 138. https://doi.org/10.1007/jhep03%282019%29138

We describe a class of compact G2 orbifolds constructed from non-symplectic involutions of K3 surfaces. Within this class, we identify a model for which there are infinitely many associative submanifolds contributing to the effective superpotential o... Read More about Counting associatives in compact $G_2$ orbifolds.

Spin(7)-manifolds as generalized connected sums and 3d $\mathcalN=1$ theories (2018)
Journal Article
Braun, A. P., & Schäfer-Nameki, S. (2018). Spin(7)-manifolds as generalized connected sums and 3d $\mathcalN=1$ theories. Journal of High Energy Physics, 2018(06), Article 103. https://doi.org/10.1007/jhep06%282018%29103

M-theory on compact eight-manifolds with Spin(7)-holonomy is a framework for geometric engineering of 3d N=1 gauge theories coupled to gravity. We propose a new construction of such Spin(7)-manifolds, based on a generalized connected sum, where the b... Read More about Spin(7)-manifolds as generalized connected sums and 3d $\mathcalN=1$ theories.

Compact, Singular $G_2$-Holonomy Manifolds and M/Heterotic/F-Theory Duality (2018)
Journal Article
Braun, A. P., & Schäfer-Nameki, S. (2018). Compact, Singular $G_2$-Holonomy Manifolds and M/Heterotic/F-Theory Duality. Journal of High Energy Physics, 2018(04), Article 126. https://doi.org/10.1007/jhep04%282018%29126

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 f... Read More about Compact, Singular $G_2$-Holonomy Manifolds and M/Heterotic/F-Theory Duality.

Mirror symmetry for G 2-manifolds: twisted connected sums and dual tops (2017)
Journal Article
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

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 compactif... Read More about Mirror symmetry for G 2-manifolds: twisted connected sums and dual tops.