English

Zero-mode wave functions by localized gauge fluxes

High Energy Physics - Theory 2022-11-10 v1 High Energy Physics - Phenomenology

Abstract

We study chiral zero-mode wave functions on blow-up manifolds of T2/ZNT^2/Z_N orbifolds with both bulk and localized magnetic flux backgrounds. We introduce a singular gauge transformation in order to remove ZNZ_N phases for ZNZ_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.

Keywords

Cite

@article{arxiv.2211.04596,
  title  = {Zero-mode wave functions by localized gauge fluxes},
  author = {Tatsuo Kobayashi and Hajime Otsuka and Makoto Sakamoto and Maki Takeuchi and Yoshiyuki Tatsuta and Hikaru Uchida},
  journal= {arXiv preprint arXiv:2211.04596},
  year   = {2022}
}

Comments

22 pages, 3 figures

R2 v1 2026-06-28T05:27:49.735Z