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PreprintCC BY 4.0arXiv

More about modular symmetries and non-invertible properties in magnetized compactifications

  • Tatsuo Kobayashi
  • Shuhei Miyamoto
  • Riku Nakano
  • Ryusei Nishida
  • Haruki Uchida
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Abstract

We study the modular symmetry in magnetized compactifications. The zero-modes with different Scherk-Schwarz phases transform each other. A generic model does not include modes with all the Scherk-Schwarz phases. Incomplete multiplet representations appear. Thus, the modular symmetry is violated as group-like symmetry. However, the modular symmetry still controls coupling terms in those models. Modular forms of the full symmetry appear as coupling constants.

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Cite

BibTeXRIS
BibTeX
@misc{kobayashi2026more,
  title = {{More about modular symmetries and non-invertible properties in magnetized compactifications}},
  author = {Tatsuo Kobayashi and Shuhei Miyamoto and Riku Nakano and Ryusei Nishida and Haruki Uchida},
  howpublished = {arXiv},
  year = {2026},
  month = may,
  doi = {10.48550/arxiv.2605.28141},
  eprint = {2605.28141},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.28141},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - More about modular symmetries and non-invertible properties in magnetized compactifications
AU  - Tatsuo Kobayashi
AU  - Shuhei Miyamoto
AU  - Riku Nakano
AU  - Ryusei Nishida
AU  - Haruki Uchida
PY  - 2026
DA  - 2026/05/27
PB  - arXiv
DO  - 10.48550/arxiv.2605.28141
UR  - https://arxiv.org/abs/2605.28141
AB  - We study the modular symmetry in magnetized compactifications. The zero-modes with different Scherk-Schwarz phases transform each other. A generic model does not include modes with all the Scherk-Schwarz phases. Incomplete multiplet representations appear. Thus, the modular symmetry is violated as group-like symmetry. However, the modular symmetry still controls coupling terms in those models. Modular forms of the full symmetry appear as coupling constants.
ER  -