2007/05/29 by Gero von Gersdorff · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Automorphism #Black Holes and Theoretical Physics #Class (philosophy) #Combinatorics #Computer science #Embedding #Field (mathematics) #Fundamental representation #Gauge group #Gauge theory #Geometry #Group (periodic table) #High-pressure geophysics and materials #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Maximal torus #Orbifold #Physics #Pure mathematics #Quantum mechanics #Rank (graph theory) #Theoretical physics #Torus #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2007.10.003
published as Nucl.Phys.B793:192-210,2008 · 26 pages, 1 figure. v2: some minor changes to references, typos corrected
arxiv created 2007/05/29 · openalex publication_date 2007/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe field-theory T2/Zn orbifolds that offer new ways of breaking SU(N) to lower rank subgroups. We introduce a novel way of embedding the point group into the gauge group, beyond the usual mapping of torus and root lattices. For this mechanism to work the torus Wilson lines must carry nontrivial 't Hooft flux. The rank lowering mechanism proceeds by inner automorphisms but is not related to continous Wilson lines and does not give rise to any associated moduli. We give a complete classification of all possible SU(N) breaking patterns. We also show that the case of general gauge group can already be understood entirely in terms of the SU(N) case and the knowledge of standard orbifold constructions with vanishing 't Hooft flux.