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PreprintCC BY 4.0arXiv

Constraining F-theory Model Building with QCD Axions

Abstract

In this paper, we investigate axion physics in 4D F-theory MSSM models. We derive the axion coupling term with QCD gauge fields and the axion potential from a top-down perspective, from both IIB superstring and the dual M-theory picture. For the explicit geometric model, we employ the "quadrillion" landscape of 4D F-theory models with the exact Standard Model chiral spectrum, and study simple base threefolds such as ℙ3, ℙ1×ℙ2, the generalized Hirzebruch threefold 𝔽̃3 and ℙ1×ℙ1×ℙ1. We derive exclusion constraints on the Kähler moduli space of the base threefold from the CP violation angle, the Standard Model gauge coupling constants and the stretched Kähler cone condition. We find stringent constraints on the set of base divisors that should be rigid or rigidified by the inclusion of flux. For the allowed regions of the parameter space, we estimate the typical mass of detectable QCD axions to be around 10−9eV, and the axion decay constant to be around fa∼ 1015GeV.

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BibTeX
@misc{chen2026constraining,
  title = {{Constraining F-theory Model Building with QCD Axions}},
  author = {Keren Chen and Qinjian Lou and Yi-Nan Wang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.03963},
  eprint = {2605.03963},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.03963},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Constraining F-theory Model Building with QCD Axions
AU  - Keren Chen
AU  - Qinjian Lou
AU  - Yi-Nan Wang
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2605.03963
UR  - https://arxiv.org/abs/2605.03963
AB  - In this paper, we investigate axion physics in 4D F-theory MSSM models. We derive the axion coupling term with QCD gauge fields and the axion potential from a top-down perspective, from both IIB superstring and the dual M-theory picture. For the explicit geometric model, we employ the "quadrillion" landscape of 4D F-theory models with the exact Standard Model chiral spectrum, and study simple base threefolds such as ℙ^3, ℙ^1×ℙ^2, the generalized Hirzebruch threefold 𝔽̃_3 and ℙ^1×ℙ^1×ℙ^1. We derive exclusion constraints on the Kähler moduli space of the base threefold from the CP violation angle, the Standard Model gauge coupling constants and the stretched Kähler cone condition. We find stringent constraints on the set of base divisors that should be rigid or rigidified by the inclusion of flux. For the allowed regions of the parameter space, we estimate the typical mass of detectable QCD axions to be around 10^−9eV, and the axion decay constant to be around f_a∼ 10^15GeV.
ER  -