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On the Stability of Warped Anti-de Sitter Spaces in Supergravity

  • S Maurelli
  • R Noris
  • M Oyarzo
  • A Saha
  • H Samtleben
  • M Trigiante
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Abstract

We discuss the perturbative stability of warped anti-de Sitter (WAdS3) spaces in three-dimensional gauged supergravity. To this end, we first derive the analogue of the Breitenlohner-Freedman bound for a single scalar field on such a curved background. We then apply this analysis to the half-maximal D=3 gauged supergravity obtained from the compactification of the D=6, 𝒩=(1,1) supergravity on S3. Families of three-dimensional configurations, uplifting to spaces of the form WAdS3 Γ— WS3, are found by turning on appropriate vector and scalar fields, supporting the AdS3 and S3 warpings, respectively. Finally, we show that the spectra of scalar fluctuations satisfy the stability criteria for each solution.

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Cite

BibTeXRIS
BibTeX
@misc{maurelli2026stability,
  title = {{On the Stability of Warped Anti-de Sitter Spaces in Supergravity}},
  author = {S Maurelli and R Noris and M Oyarzo and A Saha and H Samtleben and M Trigiante},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03485},
  eprint = {2610.03485},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05835115v1},
}
RIS
TY  - UNPB
TI  - On the Stability of Warped Anti-de Sitter Spaces in Supergravity
AU  - S Maurelli
AU  - R Noris
AU  - M Oyarzo
AU  - A Saha
AU  - H Samtleben
AU  - M Trigiante
PY  - 2026
DA  - 2026/10/02
PB  - HAL
DO  - 10.48550/arxiv.2610.03485
UR  - https://hal.science/hal-05835115v1
AB  - We discuss the perturbative stability of warped anti-de Sitter (WAdS_3) spaces in three-dimensional gauged supergravity. To this end, we first derive the analogue of the Breitenlohner-Freedman bound for a single scalar field on such a curved background. We then apply this analysis to the half-maximal D=3 gauged supergravity obtained from the compactification of the D=6, 𝒩=(1,1) supergravity on S^3. Families of three-dimensional configurations, uplifting to spaces of the form WAdS_3 Γ— WS^3, are found by turning on appropriate vector and scalar fields, supporting the AdS_3 and S^3 warpings, respectively. Finally, we show that the spectra of scalar fluctuations satisfy the stability criteria for each solution.
ER  -