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arXiv · 2610.03485

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 (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 $D=6$, $\mathcal{N}=(1,1)$ supergravity on S$^3$. Families of three-dimensional configurations, uplifting to spaces of the form $\mathrm{WAdS}_3 \times \mathrm{WS}^3$, 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.

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S. Maurelli, R. Noris, M. Oyarzo, A. Saha, H. Samtleben, M. Trigiante. 2026-10-02. On the Stability of Warped Anti-de Sitter Spaces in Supergravity. https://arxiv.org/abs/2610.03485

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