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

Hikaru Uchida; Kaito Nasu; Shohei Takada; Shota Kikuchi; Tatsuo Kobayashi

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

Number of zero-modes on magnetized T⁴/Z_N orbifolds analyzed by modular transformation

Shota Kikuchi , Tatsuo Kobayashi , Kaito Nasu , Shohei Takada , Hikaru Uchida This is my paper

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classification hep-th hep-ph

keywords transformationanalyzedmodularnumberwavefunctionszero-modesbackgroundbetter

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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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Massive modes on magnetized blow-up manifold of $T^2/\mathbb{Z}_N$
hep-th 2026-04 unverdicted novelty 5.0

Blow-up of magnetized T²/Z_N preserves total magnetic flux, total curvature, and effective flux on connecting lines, while the number of localized modes at each singularity increases by one per mass level increment.