发表机构
Politecnico di Torino; INFN, Sezione di Torino; CEICO, Institute of Physics of the Czech Academy of Sciences; Universidade de Santiago de Compostela; Texas A&M University; ENS de Lyon（都灵理工大学; 意大利国家核物理研究所都灵分部; 捷克科学院物理研究所; 圣地亚哥德孔波斯特拉大学; 德克萨斯农工大学; 里昂高等师范学校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究三维规范超引力中翘曲反德西特空间的微扰稳定性，推导了标量场的Breitenlohner-Freedman界类似物，并应用于由六维超引力紧化得到的模型，证明了标量涨落谱满足稳定性判据。
AI 中文摘要
我们讨论了三维规范超引力中翘曲反德西特（WAdS$_3$）空间的微扰稳定性。为此，我们首先推导了此类弯曲背景上单个标量场的Breitenlohner-Freedman界类似物。然后，我们将此分析应用于由$D=6$，$\mathcal{N}=(1,1)$超引力在S$^3$上紧化得到的半最大$D=3$规范超引力。通过开启适当的矢量和标量场，分别支撑AdS$_3$和S$^3$的翘曲，我们找到了三维构型族，其提升为形如$\mathrm{WAdS}_3 \times \mathrm{WS}^3$的空间。最后，我们证明了每个解中标量涨落的谱满足稳定性判据。
英文摘要
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.
Comments28 pages, including appendices
