2007/06/22 by Jacob L. Bourjaily, Bourjaily, Jacob L. · 1 citation
Computer Science · Mathematics · #FOS: Physical sciences #Geometric Analysis and Curvature Flows #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.0706.3364
openalex publication_date 2007/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By reinterpreting the familiar tools and ideas of M-theory model building, we show how a G2-manifold locally engineered to give rise to massless matter representations of an SU(5) grand unified model can be smoothly unfolded into a G2-manifold giving rise to SU(3)xSU(2) gauge theory with the corresponding matter representations. These ideas could lead to new insights in string phenomenology because much of the arbitrariness of M-theory model building can be removed by supposing, for example, that the singularities giving rise to Standard Model particles could arise from unfolding a more singular, grand unified geometry.