{"paper":{"title":"Toward a Special \\textbf{$E_6\\to G(2) \\times SU(3)_A$} Embedding for Standard Model and Dark Matter and an $E_7$ Completion Proposal","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A special non-regular embedding of E6 first breaks to G(2) times SU(3)_A, recovering the Standard Model plus a confining dark sector at low energies.","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Nicol\\`o Masi","submitted_at":"2026-03-16T13:59:40Z","abstract_excerpt":"We developed a unified framework based on a special (non-regular) embedding of the exceptional group $E_6$ in which the main stage of symmetry breaking chain realizes $E_6\\to G(2) \\times SU(3)_A$. The exceptional factor $G(2)$ plays the role of a hidden strong sector, while $SU(3)_A$ acts as an ancestor of the electroweak gauge group. A minimal scalar sector is organized around a \\(\\mathbf{650}\\)-based \\(E_6\\) Higgs sector. Its components $(\\mathbf7,\\mathbf1)$ and $(\\mathbf1,\\mathbf8)$ implement the subsequent breaking steps $G(2)\\to SU(3)_C$ and $SU(3)_A\\to SU(2)_L\\times U(1)_A$. The \\emph{sp"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The resulting framework provides a minimal unified, self-consistent exceptional apparatus which includes the Standard Model and a dark matter sector which is secluded by the group-theoretic orthogonality.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The special (non-regular) embedding E6 to G(2) x SU(3)_A exists, permits the full breaking chain without unwanted tree-level leptoquark couplings, and allows construction of a scalar potential whose minima produce the claimed heavy gauge boson spectrum and consistent one-loop unification.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A special E6 embedding realizes an intermediate G(2) x SU(3)_A stage that breaks to the Standard Model with a hidden dark confining sector, consistent gauge coupling running, and suppressed leptoquark couplings.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A special non-regular embedding of E6 first breaks to G(2) times SU(3)_A, recovering the Standard Model plus a confining dark sector at low energies.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"e21e19852a2b8abbcfa371c4059f0ca6e732de78573f7bac42c42f83641c7a69"},"source":{"id":"2603.15710","kind":"arxiv","version":3},"verdict":{"id":"93500256-e1f0-40d1-b5ff-a998ebda30eb","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T10:25:05.107689Z","strongest_claim":"The resulting framework provides a minimal unified, self-consistent exceptional apparatus which includes the Standard Model and a dark matter sector which is secluded by the group-theoretic orthogonality.","one_line_summary":"A special E6 embedding realizes an intermediate G(2) x SU(3)_A stage that breaks to the Standard Model with a hidden dark confining sector, consistent gauge coupling running, and suppressed leptoquark couplings.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The special (non-regular) embedding E6 to G(2) x SU(3)_A exists, permits the full breaking chain without unwanted tree-level leptoquark couplings, and allows construction of a scalar potential whose minima produce the claimed heavy gauge boson spectrum and consistent one-loop unification.","pith_extraction_headline":"A special non-regular embedding of E6 first breaks to G(2) times SU(3)_A, recovering the Standard Model plus a confining dark sector at low energies."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.15710/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"8a4abe14731908084b6223ac48370d4513b72ca379e4fd6e81ff9c08717b4538"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}