Author:
Braun Andreas P.,Schäfer-Nameki Sakura
Abstract
Abstract
M-theory on compact eight-manifolds with Spin(7)-holonomy is a framework for geometric engineering of 3d
$$ \mathcal{N}=1 $$
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 G
2-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 G
2-holonomy manifold, which are shown to be precisely the recently discovered twisted-connected sum constructions.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献