Counting associatives in compact $G_2$ orbifolds

Acharya, Bobby Samir; Braun, Andreas P.; Svanes, Eirik Eik; Valandro, Roberto

Abstract

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 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.

Citation

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

• Journal Article Type: Article
• Online Publication Date: Mar 22, 2019
• Publication Date: 2019
• Deposit Date: Dec 13, 2019
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 03
• Article Number: 138
• DOI: https://doi.org/10.1007/jhep03%282019%29138