A proposal of the gauge theory description of the small Schwarzschild black hole in AdS5 × S5

被引：0
作者：
Masanori Hanada
Jonathan Maltz
机构：
[1] Stanford University,Stanford Institute for Theoretical Physics, Department of Physics
[2] Kyoto University,Yukawa Institute for Theoretical Physics
[3] Kyoto University,The Hakubi Center for Advanced Research
[4] University of California at Berkeley,Berkeley Center for Theoretical Physics, Department of Physics
来源：
Journal of High Energy Physics | / 2017卷
关键词：
Black Holes in String Theory; Gauge-gravity correspondence; M(atrix) Theories;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on 4d N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 4 SYM on ℝ1×S3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\mathbb{R}}^1\times {\mathrm{S}}^3 $$\end{document}, a gauge theory description of a small black hole in AdS5×S5 is proposed. The change of the number of dynamical degrees of freedom associated with the emission of the scalar fields’ eigenvalues plays a crucial role in this description. By analyzing the microcanonical ensemble, the Hagedorn behavior of long strings at low energy is obtained. Modulo an assumption based on the AdS/CFT duality for a large black hole, the energy of the small ten-dimensional Schwarzschild black hole E ∼ 1/(G10,NT7) is derived. A heuristic gauge theory argument supporting this assumption is also given. The same argument applied to the ABJM theory correctly reproduces the relation for the eleven-dimensional Schwarzschild black hole. One of the consequences of our proposal is that the small and large black holes are very similar when seen from the gauge theory point of view.
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