DOI: 10.1093/ptep/ptag185 ISSN: 2050-3911

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

Tatsuo Kobayashi, Shuhei Miyamoto, Riku Nakano, Ryusei Nishida, Haruki Uchida

Abstract

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

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