Geometric unification of Higgs bundle vacuaCvetič, Mirjam (Avtor) Heckman, Jonathan J. (Avtor) Rochais, Thomas B. (Avtor) Torres, Ethan (Avtor) Zoccarato, Gianluca (Avtor) F-theoryHiggsM-theoryfield theoriesspin spicesHiggs 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 brans 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 CalabiYau 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.American Physical Society20202023-10-23 09:30:37Znanstveno delo86195sl