English

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

High Energy Physics - Theory 2026-05-28 v1 High Energy Physics - Phenomenology

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

@article{arxiv.2605.28141,
  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},
  journal= {arXiv preprint arXiv:2605.28141},
  year   = {2026}
}

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19 pages