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Coupling Selection Rules in Heterotic Calabi-Yau Compactifications

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arxiv 2504.09773 v2 pith:4WGOANOG submitted 2025-04-14 hep-th hep-ph

Coupling Selection Rules in Heterotic Calabi-Yau Compactifications

classification hep-th hep-ph
keywords rulesselectioncalabi-yaucouplingheteroticthreefoldschiralclassify
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study coupling selection rules of chiral matter fields in heterotic string theory with standard embedding. These selection rules are determined by topological properties of Calabi-Yau threefolds. We classify coupling selection rules on complete intersection Calabi-Yau threefolds for $h^{1,1}\leq 5$. It is found that all of these selection rules for $h^{1,1}\leq 5$ are understood by combinations of only five types of fusion rules.

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Cited by 3 Pith papers

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

  1. Conformal Bootstrap with Duality-Inspired Fusion Rule

    hep-th 2025-11 conditional novelty 6.0

    Imposing a duality-inspired fusion rule that forbids the [ε] sector from appearing in the [ε] × [ε] OPE yields numerical bounds on (Δ_σ, Δ_ε) that include the 2d Ising model but exclude the 3d Ising model.

  2. Revisiting One-Zero and Two-Zero Neutrino Mass Textures in Light of Recent Oscillation and Cosmological Data

    hep-ph 2026-07 conditional novelty 5.0

    With CMB+BAO mass-sum bounds only A1/A2 two-zero textures survive; viable one-zero textures (via flow matching) predict distinct Σmi, ⟨mee⟩, and δCP patterns, realizable by non-invertible selection rules.

  3. Dynamical CP Violation from Non-Invertible Selection Rules

    hep-ph 2026-04 unverdicted novelty 5.0

    Dynamical generation of leptonic CP violation and light sterile neutrino masses via radiative breaking of non-invertible selection rules, illustrated in the Inverse Seesaw model.