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Matter matters in moduli fixing and modular flavor symmetries

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arxiv 2304.14437 v1 pith:SINGUL3I submitted 2023-04-27 hep-th hep-ph

Victor Knapp-Perez , Xiang-Gan Liu , Hans Peter Nilles , Saul Ramos-Sanchez , Michael Ratz This is my paper · ORCID
classification hep-thhep-ph
keywords flavorvaluesmattermodularmodulisymmetriesapproachargued
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abstract

Modular flavor symmetries provide us with a very compelling approach to the flavor problem. It has been argued that moduli values close to some special values like $\tau=i$ or $\tau=\omega$ provide us with the best fits to data. We point out that the presence of hidden "matter" fields, needed to uplift symmetric AdS vacua, gives rise to a dynamical mechanism that leads to such values of $\tau$.

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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. Modulus stabilization of modular flavor models in Jordan frame supergravity

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Non-minimal scalar-curvature coupling reshapes the modulus potential, allowing stabilization at i∞ or at CP-breaking points in modular flavor models.

  2. Modular Flavor Symmetries and Fermion Mass Hierarchies

    hep-ph 2025-06 conditional novelty 6.0 of 10

    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.

  3. Flavor Symmetries and Winding Modes

    hep-th 2025-06 conditional novelty 6.0 of 10

    In the Z3 heterotic orbifold, the modular symmetry of the Kähler modulus is Gamma(3), and the discrete flavor symmetry Delta(27) arises from misaligned U(1) gauge symmetries that become massless at different critical points.

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