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PreprintCC BY 4.0arXiv

A note on the holographic consistency of DGKT-type vacua with h2,1=0

Abstract

Recent works have pointed out the existence of a holographic constraint on (extremal) three-point functions of scalar moduli in scale-separated AdS vacua. Moreover, it has been shown that this constraint is satisfied in the DGKT scenario in massive type IIA for the original 𝕋6/(ℤ3 × ℤ3) orbifold, as a result of a series of unexpected cancellations. We extend the analysis to more elaborate scenarios, involving geometries with less symmetry and more complicated triple-intersection numbers. Surprisingly, the cancellations persist in all examples with h2,1=0, leading us to speculate this conclusion might hold more generally.

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BibTeX
@misc{revello2026note,
  title = {{A note on the holographic consistency of DGKT-type vacua with $h^2,1=0$}},
  author = {Filippo Revello and Farah Verbeure},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.30341},
  eprint = {2606.30341},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.30341},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A note on the holographic consistency of DGKT-type vacua with h^2,1=0
AU  - Filippo Revello
AU  - Farah Verbeure
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2606.30341
UR  - https://arxiv.org/abs/2606.30341
AB  - Recent works have pointed out the existence of a holographic constraint on (extremal) three-point functions of scalar moduli in scale-separated AdS vacua. Moreover, it has been shown that this constraint is satisfied in the DGKT scenario in massive type IIA for the original 𝕋^6/(ℤ_3 × ℤ_3) orbifold, as a result of a series of unexpected cancellations. We extend the analysis to more elaborate scenarios, involving geometries with less symmetry and more complicated triple-intersection numbers. Surprisingly, the cancellations persist in all examples with h^2,1=0, leading us to speculate this conclusion might hold more generally.
ER  -