论文标题
广告$ _3 $重力和随机CFT
AdS$_3$ gravity and random CFT
论文作者
论文摘要
我们计算三维重力的路径积分，并在空间上具有负宇宙常数，这在拓扑上是一个间隔。这些是欧几里得虫孔，它们在两个带有圆环边界的渐近欧几里得广告$ _3 $区域之间平滑插值。从我们的结果中，我们获得了阈值附近BTZ黑洞微晶体之间的光谱相关性，并在固定动量下提取光谱形式，该光谱形式在固定动量上具有线性生长，其周围周围有较小的波动。这些相关性的低能极限恰恰是带有Virasoro对称性的双尺度随机矩阵集合的限制。我们的发现表明，如果纯三维重力具有全息二重要，那么双重是一个集合，它概括了随机矩阵理论。
We compute the path integral of three-dimensional gravity with negative cosmological constant on spaces which are topologically a torus times an interval. These are Euclidean wormholes, which smoothly interpolate between two asymptotically Euclidean AdS$_3$ regions with torus boundary. From our results we obtain the spectral correlations between BTZ black hole microstates near threshold, as well as extract the spectral form factor at fixed momentum, which has linear growth in time with small fluctuations around it. The low-energy limit of these correlations is precisely that of a double-scaled random matrix ensemble with Virasoro symmetry. Our findings suggest that if pure three-dimensional gravity has a holographic dual, then the dual is an ensemble which generalizes random matrix theory.
