Modular symmetry at level 6 and a new route towards finite modular groups
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Abstract We propose to construct the finite modular groups from the quotient of two principal congruence subgroups as Γ(N′)/Γ(N″), and the modular group SL(2, ℤ) is ex- tended to a principal congruence subgroup Γ(N′). The original modular invariant theory is reproduced when N′ = 1. We perform a comprehensive study of $$ {\Gamma}_6^{\prime } $$ Γ 6 ′ modular symmetry corresponding to N′ = 1 and N″ = 6, five types of models for lepton masses and mixing with $$ {\Gamma}_6^{\prime } $$ Γ 6 ′ modular symmetry are discussed and some example models are studied numerically. The case of N′ = 2 and N″ = 6 is considered, the finite modular group is Γ(2)/Γ(6) ≅ T′, and a benchmark model is constructed.
2009 ◽
Vol 12
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pp. 264-274
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1987 ◽
Vol 101
(3)
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pp. 421-429
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1969 ◽
Vol 10
(2)
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pp. 106-115
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2012 ◽
Vol 22
(03)
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pp. 1250026
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1999 ◽
Vol 51
(2)
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pp. 266-293
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