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The Flavor Group Delta(3n^2)

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arxiv hep-th/0701188 v3 pith:G3HLUJYX submitted 2007-01-19 hep-th hep-ph

Christoph Luhn , Salah Nasri , Pierre Ramond This is my paper · ORCID
classification hep-thhep-ph
keywords deltaflavormathematicalstructureanglesbuildcharacterclasses
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The large neutrino mixing angles have generated interest in finite subgroups of SU(3), as clues towards understanding the flavor structure of the Standard Model. In this work, we study the mathematical structure of the simplest non-Abelian subgroup, Delta(3n^2). Using simple mathematical techniques, we derive its conjugacy classes, character table, build its irreducible representations, their Kronecker products, and its invariants.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Systematic analysis of 3HDM symmetries

    hep-ph 2025-12 conditional novelty 6.0 of 10

    A systematic catalogue of realisable Higgs-family, general-CP, and GOOFy/T-GOOFy symmetries in three-Higgs-doublet models, with new invariant potentials and a corrected U(1)◦V4 group structure.

  2. Low-scale seesaw with flavour and CP symmetries $\unicode{x2013}$ from colliders to leptogenesis

    hep-ph 2024-12 conditional novelty 6.0 of 10

    For four flavour-symmetry cases, this paper maps heavy-neutrino lifetimes, decay flavour ratios, and the parameter space where leptogenesis works and colliders can test it.

  3. Phenomenological Study of Type II Seesaw with $\Delta(27)$ Symmetry

    hep-ph 2019-09 reject novelty 3.0 of 10

    A Δ(27) flavor-symmetric type-II seesaw model reproduces neutrino oscillation data only after an ad hoc diagonal perturbation is added, and its CP violation predictions reduce to parameter scans.

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