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Counting associatives in compact $G_2$ orbifolds

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

Authors

Bobby Samir Acharya

Eirik Eik Svanes

Roberto Valandro



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
Electronic ISSN 1029-8479
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
Public URL https://durham-repository.worktribe.com/output/1311589