Spin(7)-manifolds as generalized connected sums and 3d N=1 $$ mathcal{N}=1 $$ theories
Abstract M-theory on compact eight-manifolds with Spin(7)-holonomy is a framework for geometric engineering of 3d N=1 $$ mathcal{N}=1 $$ gauge theories coupled to gravity.We Tents 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 manifo