论文标题

广告的批量重建$ _ {D+1} $度量和开发运动学空间

Bulk reconstruction of AdS$_{d+1}$ metrics and developing kinematic space

论文作者

Sugiura, Kakeru, Takeda, Daichi

论文摘要

全局,Poincaré和Rindler广告的指标$ _ {D+1} $是用给定的LightCone剪切明确重建的。我们首先使用Engelhardt和Horowitz引入的LightCone Cuts方法将度量计算到共形因子。虽然尚不清楚确定共形因子的一般处方,但我们通过从削减轻酮中识别因果信息表面并发现其最小的因果信息来恢复因子。此外,我们提出了一种新型的运动空间,作为ADS $ _ {D+1} $中最小表面的空间,其中将指标作为$ d = 2 $的情况引入。该度量标准定义了一组批量点,这相当于灯具切口。还研究了一些其他属性以建立一般批量指标的重建程序。

The metrics of the global, Poincaré, and Rindler AdS$_{d+1}$ are explicitly reconstructed with given lightcone cuts. We first compute the metric up to a conformal factor with the lightcone cuts method introduced by Engelhardt and Horowitz. While a general prescription to determine the conformal factor is not known, we recover the factor by identifying the causal information surfaces from the lightcone cuts and finding that they are minimal. In addition, we propose a new type of kinematic space as the space of minimal surfaces in AdS$_{d+1}$, where a metric is introduced as a generalization of the case of $d=2$. This metric defines the set of bulk points, which is equivalent to that of lightcone cuts. Some other properties are also studied towards establishing a reconstruction procedure for general bulk metrics.

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