Generation structures and Yukawa couplings in magnetized T^2g/ℤ_N models

2025/07/08 by Tim Jeric, Jeric, Tim, Tatsuo Kobayashi +5
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.2507.05645

openalex publication_date 2025/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study fermion zero-mode wave functions with various chiralities in magnetized T^2g, (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 with consideration for the chirality. Lastly, we briefly review how to construct T⁴/ℤ_N (N=2,3,4,6) and T⁶/ℤ₁₂ twisted orbifold. Also, we explicitly analyze the number of the wave functions in ℤ_N sectors.

Related

• Modular symmetry in magnetized T^2g torus and orbifold models
• Zero-mode wave functions by localized gauge fluxes
• Flavor structure in magnetized orbifold and blow-up manifold compactification
• Modular weights of wave functions on magnetized torus
• Magnetized Branes and the Six-Torus