An exact quantization of Jackiw-Teitelboim gravity
An exact quantization of Jackiw-Teitelboim gravity
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DOI：
10.1007/jhep11(2019)091
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发表时间：
2019-05
影响因子：
5.4
通讯作者：
Luca V. Iliesiu;S. Pufu;H. Verlinde;Y. Wang
中科院分区：
文献类型：
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作者：
Luca V. Iliesiu;S. Pufu;H. Verlinde;Y. Wang
我们通过将 JT 引力理论表述为存在环缺陷的二维规范理论，提出了二维 Jackiw-Teitelboim (JT) 引力的精确量化。规范组是 PSL (2, ℝ) 乘 ℝ 的某个中心延伸。我们发现，当放置在欧几里德圆盘上时，我们的理论的精确配分函数与施瓦茨理论的有限温度配分函数精确匹配。我们证明两侧的可观测量也精确匹配：边界锚定威尔逊线的相关函数大部分由施瓦茨理论中的双局域算子给出。在引力背景下，威尔逊线被证明相当于 JT 引力度量公式中的大质量粒子的世界线。
We propose an exact quantization of two-dimensional Jackiw-Teitelboim (JT) gravity by formulating the JT gravity theory as a 2D gauge theory placed in the presence of a loop defect. The gauge group is a certain central extension of PSL (2, ℝ) by ℝ. We find that the exact partition function of our theory when placed on a Euclidean disk matches precisely the finite temperature partition function of the Schwarzian theory. We show that observables on both sides are also precisely matched: correlation functions of boundary-anchored Wilson lines in the bulk are given by those of bi-local operators in the Schwarzian theory. In the gravitational context, the Wilson lines are shown to be equivalent to the world-lines of massive particles in the metric formulation of JT gravity.