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PreprintCC BY 4.0arXiv

The Flavor of Non-Abelian Orbifolds

  • Miguel Hernandez-Segura
  • Xiang-Gan Liu
  • Ricardo Perez-Martinez
  • Saul Ramos-Sanchez
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Abstract

In string model building, flavor symmetries can arise from the geometric features of the compactification space. In the case of heterotic orbifold models, modular and traditional flavor symmetries can be related to both geometric and algebraic properties of the orbifold space group. Our goal is to study the origin of moduli-independent discrete flavor symmetries in symmetric heterotic orbifolds with non-Abelian point groups. We develop various methods based on the Abelianization and the geometric automorphisms of the orbifold space group to determine these symmetries and their associated charges for matter fields. Notably, our methods were applied to all 331 non-Abelian affine geometries, including roto-translations, suitable for delivering N=1 supersymmetric heterotic compactifications in four dimensions. This provides additional motivation to pursue the derivation of new types of phenomenologically viable models from string theory.

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Cite

BibTeXRIS
BibTeX
@misc{hernandezsegura2026flavor,
  title = {{The Flavor of Non-Abelian Orbifolds}},
  author = {Miguel Hernandez-Segura and Xiang-Gan Liu and Ricardo Perez-Martinez and Saul Ramos-Sanchez},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.30241},
  eprint = {2609.30241},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.30241},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The Flavor of Non-Abelian Orbifolds
AU  - Miguel Hernandez-Segura
AU  - Xiang-Gan Liu
AU  - Ricardo Perez-Martinez
AU  - Saul Ramos-Sanchez
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.30241
UR  - https://arxiv.org/abs/2609.30241
AB  - In string model building, flavor symmetries can arise from the geometric features of the compactification space. In the case of heterotic orbifold models, modular and traditional flavor symmetries can be related to both geometric and algebraic properties of the orbifold space group. Our goal is to study the origin of moduli-independent discrete flavor symmetries in symmetric heterotic orbifolds with non-Abelian point groups. We develop various methods based on the Abelianization and the geometric automorphisms of the orbifold space group to determine these symmetries and their associated charges for matter fields. Notably, our methods were applied to all 331 non-Abelian affine geometries, including roto-translations, suitable for delivering N=1 supersymmetric heterotic compactifications in four dimensions. This provides additional motivation to pursue the derivation of new types of phenomenologically viable models from string theory.
ER  -