论文标题
欧几里得黑色马鞍和广告$ _4 $黑洞
Euclidean Black Saddles and AdS$_4$ Black Holes
论文作者
论文摘要
我们发现新的渐近本地广告$ _4 $ euclidean supersymmetric suppersypricric suppermmortric superations在四维计量的超级强度中。这些“黑色马鞍”具有$ s^1 \ timesσ_ {\ mathfrak {g}} $边界在渐近无穷大的边界，在内部平稳地盖住。该解决方案可以升至11个维度，并且在$ s^1 \ timesσ_{\ Mathfrak {g}} $上对拓扑扭曲的ABJM理论是双重双重的。我们明确地表明，黑色马鞍溶液的壳动作与平面限制的ABJM理论的拓扑扭曲索引完全吻合，这是磁通量，风味散热器和真实质量的一般值。该协议依赖于仔细的全息重新归一化分析，并结合了超级严重参数与现场理论来源之间的新型UV/IR全息关系。 Euclidean Black Saddle解决方案空间包含特殊点，可以将其焊接到常规的Lorentzian超级重力背景，这些背景与Stu模型中众所周知的Supersymmetricry-Metrymmetric Dyonic Ads $ _4 $黑洞相对应。
We find new asymptotically locally AdS$_4$ Euclidean supersymmetric solutions of the STU model in four-dimensional gauged supergravity. These "black saddles" have an $S^1\times Σ_{\mathfrak{g}}$ boundary at asymptotic infinity and cap off smoothly in the interior. The solutions can be uplifted to eleven dimensions and are holographically dual to the topologically twisted ABJM theory on $S^1\times Σ_{\mathfrak{g}}$. We show explicitly that the on-shell action of the black saddle solutions agrees exactly with the topologically twisted index of the ABJM theory in the planar limit for general values of the magnetic fluxes, flavor fugacities, and real masses. This agreement relies on a careful holographic renormalization analysis combined with a novel UV/IR holographic relation between supergravity parameters and field theory sources. The Euclidean black saddle solution space contains special points that can be Wick-rotated to regular Lorentzian supergravity backgrounds that correspond to the well-known supersymmetric dyonic AdS$_4$ black holes in the STU model.
