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Generation structures and Yukawa couplings in magnetized T2g/ZN models

Tim Jeric, Tatsuo Kobayashi, Kaito Nasu, and Shohei Takada

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Phys. Rev. D 112, 076033 – Published 28 October, 2025

DOI: https://doi.org/10.1103/rq7n-ypc1

Abstract

We study fermion zero-mode wave functions with various chiralities in the magnetized T2g, (g=2,3), torus. First, we consider the wave functions satisfying the Dirac equation and the boundary conditions on the magnetized torus. Second, we introduce the SO(3) (or parity) transformations and derive the wave functions under the modular transformation. Additionally, we calculate the Yukawa couplings taking chirality into account. Lastly, we briefly review how to construct the T4/ZN, (N=2,3,4,6), and T6/Z12 twisted orbifold. Also, we explicitly analyze the number of the wave functions in ZN sectors.

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Outline

Information

Phys. Rev. D 112, 076033– Published 28 October, 2025
  • Received 22 July 2025
  • Accepted 30 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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