Higgs bundles are a central tool used to study a range of intersecting brane systems in string compactifications. Solutions to the internal gauge theory equations of motion for the corresponding worldvolume theories of branes give rise to different low energy effective field theories. This has been heavily used in the study of M-theory on local G 2 spaces and F-theory on local elliptically fibered Calabi-Yau fourfolds. In this paper we show that the 3D N = 1 effective field theory defined by M-theory on a local spin(7) space unifies the Higgs bundle data associated with 4D N = 1 M- and F-theory vacua. This 3D system appears as an interface with finite thickness between different 4D vacua. We develop the general formalism of M-theory on such local spin(7) spaces and build explicit interpolating solutions. This provides a complementary local gauge theory analysis of a recently proposed approach to constructing spin(7) spaces from generalized connected sums.
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机译：HIGGS捆绑是用于研究一系列交叉的BRANE系统，在串压缩中研究。 内部仪表理论的解决方案是相应的Worldvolume理论的运动方程，褐色的理论产生不同的低能量有效田间理论。 这一直在大量用用于本地G 2空间和本地椭圆纤维的F-理论研究的M-理论。 在本文中，我们示出了在局部旋转（7）空间上由M-理论限定的3D n = 1有效的场理论统一与4D n = 1 m-和F理论VACUA相关联的HIGGS束数据。 该3D系统显示为具有不同4D Vacua之间有限厚度的接口。 我们在这种当地旋转（7）空间上的M-理论的一般形式主义和建立明确的插值解决方案。 这提供了一种互补的局部规范理论分析，其最近提出的方法来构建来自广义连通的总和的旋转（7）空间。
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