arXiv 2006.011482020-06hep-th

欧几里德黑鞍与AdS $_4$黑洞

Euclidean Black Saddles and AdS$_4$ Black Holes

Nikolay Bobev, Anthony M. Charles, Vincent S. Min

备注：: 78 pages, 7 figures. v2: references added, minor typos fixed. v3: a few more minor typos fixed
DOI：: 10.1007/JHEP10(2020)073

摘要：

在四维规范超引力下，我们找到了STU模型新的渐近局部AdS $_4$欧几里德超对称解。这些“黑鞍”在渐近无穷远处有一个$S^1\times Σ_{\mathfrak{g}}$边界，并在内部平滑地终止。这些解可以提升到11维，并且与$S^1\times Σ_{\mathfrak{g}}$上的拓扑扭曲ABJM理论是全息对偶的。我们明确表明，在壳行动的黑鞍解完全符合拓扑扭曲指数的ABJM理论在平面极限的一般值的磁通量，味逸度，和真正的群众。这一协议依赖于一个仔细的全息重整化分析结合一个新的紫外/红外全息超引力参数和场论源之间的关系。欧几里德黑鞍解空间包含特殊的点，这些点可以被威克旋转到规则的洛伦兹超引力背景，对应于STU模型中著名的超对称双子AdS $_4$黑洞。

英文摘要：

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.

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