An exact quantization of Jackiw-Teitelboim gravity

Abstract

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.

arXiv comment80 pages, 5 figures

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• The statistical mechanics of near-extremal black holes
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• The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
• A universal Schwarzian sector in two-dimensional conformal field theories
• Liouville quantum gravity -- holography, JT and matrices
• A violation of global symmetries from replica wormholes and the fate of black hole remnants
• Solving 3d Gravity with Virasoro TQFT
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• Unruh detectors and quantum chaos in JT gravity
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• Krylov spread complexity as holographic complexity beyond JT gravity
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• Tearing down spacetime with quantum disentanglement
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• Twistor representation of Jackiw-Teitelboim gravity
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• Quantization of Jackiw-Teitelboim gravity with a massless scalar
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• Probing holography in $p$-adic CFT
• AdS gravity, SO(2,d) gauge theory and Holography
• Statistical Mechanics of Exponentially Many Low Lying States
• Massive fields and Wilson spools in JT gravity
• Classical Unattainability of Extremality in non-BPS D-brane Systems
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