Euclidean black saddles and AdS4 black holes
Euclidean black saddles and AdS4 black holes
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欧几里得黑鞍和 AdS4 黑洞
DOI：
10.1007/jhep10(2020)073
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发表时间：
2020
影响因子：
5.4
通讯作者：
Vincent S. Min
中科院分区：
文献类型：
--
作者：
Nikolay Bobev;A. Charles;Vincent S. Min
我们发现了四维规范超重力中 STU 模型的新渐近局部 AdS4 欧几里德超对称解。这些“黑色鞍座”有一个 S1×Σg\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\Sigma}_{\mathfrak{g}} $$\end{document} 边界位于渐近无穷远，并在内部平滑地封闭。这些解决方案可以提升到十一维，并且与 S1×Σg\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} 上的拓扑扭曲 ABJM 理论全息对偶\setlength{\oddsidemargin}{-69pt} \begin{文档}$$ {\Sigma}_{\mathfrak{g}} $$\end{文档}。我们明确表明，黑鞍解的壳上作用与磁通量、风味逸度和实际质量的一般值的平面极限中 ABJM 理论的拓扑扭曲指数完全一致。该协议依赖于仔细的全息重整化分析以及超重力参数和场论源之间新颖的紫外/红外全息关系。欧几里得黑鞍解空间包含可以通过 Wick 旋转到常规洛伦兹超重力背景的特殊点，这些点对应于 STU 模型中众所周知的超对称动力 AdS4 黑洞。
We find new asymptotically locally AdS4 Euclidean supersymmetric solutions of the STU model in four-dimensional gauged supergravity. These “black saddles” have an S1×Σg\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\Sigma}_{\mathfrak{g}} $$\end{document} 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 S1×Σg\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\Sigma}_{\mathfrak{g}} $$\end{document}. 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 AdS4 black holes in the STU model.
c-极端化的几何对偶
影响因子：
5.4
作者：
Couzens C
通讯作者：
Couzens C
影响因子：
5.4
作者：
M. Aaboud;G. Aad;B. Abbott;O. Abdinov;Baptiste Abeloos;S. H. Abidi;O. AbouZeid;N. Abraham;
通讯作者：
M. Aaboud;G. Aad;B. Abbott;O. Abdinov;Baptiste Abeloos;S. H. Abidi;O. AbouZeid;N. Abraham;