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Three-dimensional vacua of G2 flux compactifications

  • Aravind Aikot
  • Julian Choi
  • Timm Wrase
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Abstract

We study supersymmetric vacua of three-dimensional 𝒩=1 effective theories from type IIA, type IIB/type I, and heterotic compactifications on G2-structure spaces. Superpotential homogeneity and the physical scalar metric yield universal vacuum relations and axion stabilization constraints without specifying the full moduli-space metric. We express AdS3 scalar masses through Δ, the scaling dimension of the corresponding operator in the dual two-dimensional conformal field theory. In massive type IIA AdS3 vacua, we derive the bound Δmax≥(20+4√(67))/7≈ 7.5 and an exact dimension Δb=6 for B2 axions on the torsion-free branch. Type IIB type I and heterotic AdS3 vacua contain a universal volume-dilaton mode with Δϕs=4. On the singlet-torsion type IIB branch, we also obtain the volume-dilaton mode with Δϕs=20/7 and Δb=16/7. Every supersymmetric Minkowski vacuum in the retained classical closed-string theories possesses an exact volume-dilaton flat direction. We characterize physical large-flux limits after tadpole constraints and axionic identifications, and identify torsion obstructions to isotropic scale separation.

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Cite

BibTeXRIS
BibTeX
@misc{aikot2026threedimensional,
  title = {{Three-dimensional vacua of $G_2$ flux compactifications}},
  author = {Aravind Aikot and Julian Choi and Timm Wrase},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.14313},
  eprint = {2610.14313},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.14313},
}
RIS
TY  - UNPB
TI  - Three-dimensional vacua of G_2 flux compactifications
AU  - Aravind Aikot
AU  - Julian Choi
AU  - Timm Wrase
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.14313
UR  - https://arxiv.org/abs/2610.14313
AB  - We study supersymmetric vacua of three-dimensional 𝒩=1 effective theories from type IIA, type IIB/type I, and heterotic compactifications on G_2-structure spaces. Superpotential homogeneity and the physical scalar metric yield universal vacuum relations and axion stabilization constraints without specifying the full moduli-space metric. We express AdS_3 scalar masses through Δ, the scaling dimension of the corresponding operator in the dual two-dimensional conformal field theory. In massive type IIA AdS_3 vacua, we derive the bound Δ_max≥(20+4√(67))/7≈ 7.5 and an exact dimension Δ_b=6 for B_2 axions on the torsion-free branch. Type IIB type I and heterotic AdS_3 vacua contain a universal volume-dilaton mode with Δ_ϕs=4. On the singlet-torsion type IIB branch, we also obtain the volume-dilaton mode with Δ_ϕs=20/7 and Δ_b=16/7. Every supersymmetric Minkowski vacuum in the retained classical closed-string theories possesses an exact volume-dilaton flat direction. We characterize physical large-flux limits after tadpole constraints and axionic identifications, and identify torsion obstructions to isotropic scale separation.
ER  -