{"paper":{"title":"Building SO$_{10}$- models with $\\mathbb{D}_{4}$ symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"E.H Saidi, M. Miskaoui, R. Ahl Laamara","submitted_at":"2015-11-10T16:18:41Z","abstract_excerpt":"Using characters of finite group representations and monodromy of matter curves in F-GUT, we complete partial results in literature by building SO$% _{10}$ models with dihedral $\\mathbb{D}_{4}$ discrete symmetry. We first revisit the $\\mathbb{S}_{4}$-and $\\mathbb{S}_{3}$-models from the discrete group character view, then we extend the construction to $\\mathbb{D}_{4}$.\\ We find that there are three types of $SO_{10}\\times \\mathbb{D}_{4}$ models depending on the ways the $\\mathbb{S}_{4}$-triplets break down in terms of irreducible $\\mathbb{D}_{4}$- representations: $\\left({\\alpha} \\right) $ as "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03166","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}