A proposal of the gauge theory description of the small Schwarzschild black hole in AdS5 × S5
A proposal of the gauge theory description of the small Schwarzschild black hole in AdS5 × S5
复制标题
AdS5×S5中史瓦西小黑洞规范场理论描述的提出
DOI：
--
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
J. Maltz
中科院分区：
文献类型：
--
作者：
M. Hanada;J. Maltz
基于ℝ1×S3$${mathbb{R}}^1 imes{mathm{S}}^3$$上的4dN$$数学{N}$=4SYM，提出了AdS5×S5中一个小黑洞的规范理论描述.与标量场本征值发射相关的动力学自由度数的变化在这种描述中起着至关重要的作用。通过对微正则系综的分析，得到了低能长弦的Hagedorn行为。基于大黑洞的ADS/CFT对偶假设，导出了十维小黑洞E∼1/(G10，NT7)的能量.文中还给出了一个支持这一假设的启发式规范理论论证。同样的论点适用于ABJM理论，正确地再现了11维Schwarzschild黑洞的关系。我们提议的结果之一是，从规范理论的角度来看，小黑洞和大黑洞非常相似。
A bstractBased on 4d N$$ mathcal{N} $$ = 4 SYM on ℝ1×S3$$ {mathbb{R}}^1 imes {mathrm{S}}^3 $$, 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.