Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation

Shota Kikuchi; Tatsuo Kobayashi; Kaito Nasu; Shohei Takada; Hikaru Uchida

doi:10.1007/JHEP06(2023)013

Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation

High Energy Physics - Theory 2023-06-16 v2 High Energy Physics - Phenomenology

Authors: Shota Kikuchi , Tatsuo Kobayashi , Kaito Nasu , Shohei Takada , Hikaru Uchida

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Abstract

We study fermion zero-mode wavefunctions on $T^4/Z_N$ orbifold with background magnetic fluxes. The number of zero-modes is analyzed by use of $Sp(4,\mathbb{Z})$ modular transformation. Conditions needed to realize three generation models are clarified. We also study parity transformation in the compact space which leads to better understanding of relationship between positive and negative chirality wavefunctions.

Keywords

fermion zero-modes t^4/z_n orbifold background magnetic fluxes sp(4,z) modular transformation three generation models chirality wavefunctions

Cite

@article{arxiv.2211.07813,
  title  = {Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation},
  author = {Shota Kikuchi and Tatsuo Kobayashi and Kaito Nasu and Shohei Takada and Hikaru Uchida},
  journal= {arXiv preprint arXiv:2211.07813},
  year   = {2023}
}

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70 pages, 3 figures, v2: published version

Number of zero-modes on magnetized $T^4/Z_N$ orbifolds analyzed by modular transformation

Abstract

Keywords

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