Spin(7)-manifolds as generalized connected sums and 3d $\mathcalN=1$ theories

Braun, Andreas P.; Schäfer-Nameki, Sakura

Abstract

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 building blocks are a Calabi-Yau four-fold and a G2-holonomy manifold times a circle, respectively, which both asymptote to a Calabi-Yau three-fold times a cylinder. The generalized connected sum construction is first exemplified for Joyce orbifolds, and is then used to construct examples of new compact manifolds with Spin(7)-holonomy. In instances when there is a K3-fibration of the Spin(7)-manifold, we test the spectra using duality to heterotic on a T 3-fibered G2-holonomy manifold, which are shown to be precisely the recently discovered twisted-connected sum constructions.

Citation

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

• Journal Article Type: Article
• Acceptance Date: Jun 3, 2018
• Online Publication Date: Jun 20, 2018
• Publication Date: 2018-06
• 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: 2018
• Issue: 06
• Article Number: 103
• DOI: https://doi.org/10.1007/jhep06%282018%29103
• Public URL: https://durham-repository.worktribe.com/output/1275275