AI 中文总结
该研究构造了五维最小规范超引力的新型非超对称渐近局部AdS₅解，其超对称非极值极限的复黑洞鞍点，为T²×Σ𝔤上的4d 𝒩=1 SCFT拓扑扭转指数提供了全息对偶，且作用量与对偶指数的大N极限一致。
AI 中文摘要
我们构造了一类五维最小规范超引力的新型非超对称、渐近局部AdS$_5$解。在洛伦兹号差下，这些解描述了具有$S^1\times Σ_{\frak{g}}$视界拓扑的有限温度旋转电磁带电黑洞弦；在欧几里得号差下，这些解完全光滑且渐近于$T^2\times Σ_{\frak{g}}$。我们对这些引力背景的热力学性质进行了详细分析，计算了它们的正则化壳上作用量，并分析了极值和超对称极限。欧几里得背景的超对称非极值极限是一类复黑洞鞍点，它为置于$T^2\times Σ_{\frak{g}}$上的四维$\boldsymbol{\textit{N}=1}$ SCFT的拓扑扭转指数提供了全息对偶描述。我们证明，该极限下超引力的正则化壳上作用量与对偶SCFT中拓扑扭转指数的大$N$极限一致。
英文摘要
We construct a novel family of non-supersymmetric, asymptotically locally AdS$_5$ solutions of five-dimensional minimal gauged supergravity. In Lorentzian signature the solutions describe finite temperature rotating electro-magnetically charged black strings with $S^1\times Σ_{\mathfrak{g}}$ horizon topology. In Euclidean signature the solutions are completely smooth and are asymptotic to $T^2\times Σ_{\mathfrak{g}}$. We present a detailed analysis of the thermodynamic properties of these gravitational backgrounds, compute their regularized on-shell action and analyze the extremal and supersymmetric limits. The supersymmetric, but non-extremal, limit of the Euclidean backgrounds is a family of complex black saddles and it provides the holographic dual description of the topologically twisted index of 4d $\mathcal{N}=1$ SCFTs placed on $T^2\times Σ_{\mathfrak{g}}$. We show that the supergravity regularized on-shell action in this limit is in agreement with the large $N$ limit of the topologically twisted index in the dual SCFT.
Comments68 pages, 3 figures
