Spectrum of Large N Gauge Theory from Supergravity
Spectrum of Large N Gauge Theory from Supergravity
复制标题
超引力大 N 规范理论的谱
DOI：
10.1103/physrevlett.80.4116
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
H. Ooguri
中科院分区：
文献类型：
--
作者：
G. Horowitz;H. Ooguri
最近，Maldacena提出U(N)规范群的四维N=4超对称规范理论的大N极限与AdS_5 ×S^5上的IIB型超弦理论对偶。我们利用这个建议来研究低能量状态下 R×S^3 的大 N 规范理论的谱。我们发现谱是离散且均匀分布的，并且每个能级的态数小于贝肯斯坦-霍金公式对低能态的简单外推所预测的态数。我们还表明规范理论描述了地平线后面和前面的时空区域。
Recently, Maldacena proposed that the large N limit of the N=4 supersymmetric gauge theory in four dimensions with U(N) gauge group is dual to the type IIB superstring theory on AdS_5 ×S^5. We use this proposal to study the spectrum of the large N gauge theory on R×S^3 in a low energy regime. We find that the spectrum is discrete and evenly spaced, and the number of states at each energy level is smaller than the one predicted by the naive extrapolation of the Bekenstein-Hawking formula to the low energy regime. We also show that the gauge theory describes a region of spacetime behind the horizon as well as the region in front.