
We construct lepton flavour models based on two $A_4$ modular symmetries. The two $A_4$ are broken by a bi-triplet field to the diagonal $A_4$ subgroup, resulting in an effective modular $A_4$ flavour symmetry with two moduli. We employ these moduli as stabilisers, that preserve distinct residual symmetries, enabling us to obtain Tri-Maximal 2 (TM2) mixing with a minimal field content (without flavons).
17 pages, 2 figures. v2: version accepted in NPB
High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Algebraic moduli problems, moduli of vector bundles, Nuclear and particle physics. Atomic energy. Radioactivity, Symmetry breaking in quantum theory, Applications of Lie groups to the sciences; explicit representations, FOS: Physical sciences, QC770-798, Weak interaction in quantum theory, Strong interaction, including quantum chromodynamics
High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Algebraic moduli problems, moduli of vector bundles, Nuclear and particle physics. Atomic energy. Radioactivity, Symmetry breaking in quantum theory, Applications of Lie groups to the sciences; explicit representations, FOS: Physical sciences, QC770-798, Weak interaction in quantum theory, Strong interaction, including quantum chromodynamics
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