2010/12/31 by Motoharu Ito, Shogo Kuwakino, Nobuhiro Maekawa +7 · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Black Holes and Theoretical Physics #Computer science #Embedding #Grand Unified Theory #Higgs boson #Machine learning #Mathematics #Orbifold #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Supersymmetry #Theoretical physics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.83.091703
published as Phys.Rev.D83:091703,2011 · 5 pages, no figures, minor improvements and references added
openalex publication_date 2011/05/19 · arxiv created 2011/05/30 · arxiv updated 2011/06/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct two more supersymmetric E6 grand unified models with three generations within the framework of ℤ12 asymmetric orbifold compactification of the heterotic string theory. Such an asymmetric orbifold is missing in the classification in the literature, which concludes that only one E6 model is possible. In both of the new models, an adjoint Higgs field is obtained in virtue of the diagonal embedding method. This method mods out the three E6 factors of an even self-dual momentum-lattice by a permutation symmetry. In order to realize the (E6)3 even self-dual lattice, we utilize the lattice engineering technique. Among the eight possible orbifold actions in our setup, two lead to new E6 models. Though these models still share the unsatisfactory issues with the known one, our discovery raises hopes that excellent models that solve all the problems in the supersymmetric grand unified models will be found in this framework.