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

Author: 

Braun, A
Schäfer-Nameki, S

Publication Date: 

1 June 2018

Journal: 

Journal of High Energy Physics

Last Updated: 

2019-10-06T03:36:28.07+01:00

Issue: 

6

Volume: 

2018

DOI: 

10.1007/JHEP06(2018)103

abstract: 

© The Authors. 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 T3-fibered G2-holonomy manifold, which are shown to be precisely the recently discovered twisted-connected sum constructions.

Symplectic id: 

923763

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article