Modular symmetry of localized modes

Tatsuo Kobayashi; Hajime Otsuka; Shohei Takada; Hikaru Uchida

Modular symmetry of localized modes

High Energy Physics - Theory 2025-01-16 v2 High Energy Physics - Phenomenology

Authors: Tatsuo Kobayashi , Hajime Otsuka , Shohei Takada , Hikaru Uchida

Abstract

We study the modular symmetry of localized modes on fixed points of $T^2/\mathbb{Z}_2$ orbifold. First, we find that the localized modes with even (odd) modular weight generally have $\Delta(6n^2)$ ( $\Delta'(6n^2)$ ) modular flavor symmetry. Moreover, when we consider an additional Ansatz, the localized modes with even (odd) modular weight generally enjoy $S_3$ ( $S'_4$ ) modular flavor symmetry, and we show the concrete wave functions of the localized modes.

Keywords

moduli spaces nonlinear localized modes

Cite

@article{arxiv.2410.05788,
  title  = {Modular symmetry of localized modes},
  author = {Tatsuo Kobayashi and Hajime Otsuka and Shohei Takada and Hikaru Uchida},
  journal= {arXiv preprint arXiv:2410.05788},
  year   = {2025}
}

Comments

18 pages

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