Counting Associatives in Compact $G_2$ Orbifolds
High Energy Physics - Theory
2018-12-12 v1 Differential Geometry
Abstract
We describe a class of compact 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 of M-theory compactifications. Under a chain of dualities, these can be mapped to F-theory on a Calabi-Yau fourfold, and we find that they are dual to an example studied by Donagi, Grassi and Witten. Finally, we give two different descriptions of our main example and the associative submanifolds as a twisted connected sum.
Cite
@article{arxiv.1812.04008,
title = {Counting Associatives in Compact $G_2$ Orbifolds},
author = {Bobby Samir Acharya and Andreas P. Braun and Eirik Eik Svanes and Roberto Valandro},
journal= {arXiv preprint arXiv:1812.04008},
year = {2018}
}
Comments
27 pages, 3 figures