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Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation

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arxiv 2211.07813 v2 pith:PWEZWYGL submitted 2022-11-15 hep-th hep-ph

Shota Kikuchi , Tatsuo Kobayashi , Kaito Nasu , Shohei Takada , Hikaru Uchida This is my paper · ORCID
classification hep-thhep-ph
keywords transformationanalyzedmodularnumberwavefunctionszero-modesbackgroundbetter
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abstract

We study fermion zero-mode wavefunctions on $T^4/Z_N$ orbifold with background magnetic fluxes. The number of zero-modes is analyzed by use of $Sp(4,\mathbb{Z})$ modular transformation. Conditions needed to realize three generation models are clarified. We also study parity transformation in the compact space which leads to better understanding of relationship between positive and negative chirality wavefunctions.

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  1. Generation structures and Yukawa couplings in magnetized $T^{2g}/\mathbb{Z}_N$ models

    hep-th 2025-07 conditional novelty 5.0 of 10

    The paper constructs zero-mode wave functions for all chiralities on non-factorizable magnetized T^{2g} and uses them to exhibit three-generation spectra in T^{2g}/Z_N orbifold models.

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