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Finite modular symmetries and the strong CP problem
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Recently, it was shown that modular symmetry may solve the strong CP problem without axions, by producing a vanishing QCD angle while generating a large quark CP violation phase. We extend this framework to finite modular groups, systematically identifying the allowed mass textures. We find quark fields must furnish 1D representations and scan the minimal model landscape.
Forward citations
Cited by 3 Pith papers
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Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds
Non-Abelian orbifolds in heterotic string theory produce non-invertible coupling selection rules, since twisted sectors are labeled by conjugacy classes whose products contain multiple classes and yield characteristic...
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Modular Flavor Symmetries and Fermion Mass Hierarchies
In modular flavor models, fermion mass hierarchies require the modulus to sit near the critical points i, i∞, or ω; the paper classifies the near-critical mass patterns for reducible 2⊕1 matter assignments.
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Solving the strong CP problem in string-inspired theories with modular invariance
Modular invariance can suppress the QCD theta angle to zero in string-inspired supersymmetric models with positive modular weights and non-trivial gauge kinetic functions, while the CKM phase stays large.
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