Zero-mode wave functions by localized gauge fluxes

2022/11/08 by Tatsuo Kobayashi, Kobayashi, Tatsuo, Hajime Otsuka +9
Physics and Astronomy · #Black Holes and Theoretical Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2211.04596

openalex publication_date 2022/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study chiral zero-mode wave functions on blow-up manifolds of T²/Z_N orbifolds with both bulk and localized magnetic flux backgrounds. We introduce a singular gauge transformation in order to remove Z_N phases for Z_N twisted boundary condition of matter fields. We compute wave functions of not only bulk zero modes but also localized modes at the orbifold singular points, which correspond to new zero modes induced by localized flux. By studying their Yukawa couplings, it turns out that only three patterns of Yukawa couplings are allowed. Our theory has a specific coupling selection rule.

Related

• Generation structures and Yukawa couplings in magnetized T^2g/ℤ_N models
• Flavor structure in magnetized orbifold and blow-up manifold compactification
• Topological zero modes and bounded modes at smooth domain walls: Exact solutions and dualities
• Chiral zero modes in non local domain walls
• Majorana Zero Modes in Superconducting Proximity-coupled Magnetic Domain Wall