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An exact quantization of Jackiw-Teitelboim gravity

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arxiv 1905.02726 v1 pith:HUT3O62L submitted 2019-05-07 hep-th

An exact quantization of Jackiw-Teitelboim gravity

classification hep-th
keywords theorygravityexactfunctiongaugejackiw-teitelboimlinesmathbb
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $PSL(2, \mathbb{R})$ by $\mathbb{R}$. 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.

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Cited by 13 Pith papers

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