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.

80 pages, 5 figures

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• A symmetry algebra in double-scaled SYK
• Eigenbranes in Jackiw-Teitelboim gravity
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• Classifying boundary conditions in JT gravity: from energy-branes to $\alpha$-branes
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• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
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• Supergroup Structure of Jackiw-Teitelboim Supergravity
• Complex Sachdev-Ye-Kitaev model in the double scaling limit
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• Krylov spread complexity as holographic complexity beyond JT gravity
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• Degenerate operators in JT and Liouville (super)gravity
• Quantum corrections to finite radius holography and holographic entanglement entropy
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
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• Gauge Theory Formulation of Hyperbolic Gravity
• Quantum Cross-section of Near-extremal Black Holes
• Tearing down spacetime with quantum disentanglement
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• Higher spin JT gravity and a matrix model dual
• Near-Extremal Charged Black Holes: Greybody Factors and Evolution
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• Branes in JT (super)gravity from group theory
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• Quantization of Jackiw-Teitelboim gravity with a massless scalar
• Classical geometry from the tensionless string
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• Probing holography in $p$-adic CFT
• Holographic Aspects of Even-Dimensional Topological Gravity
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• Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime
• JT Gravity in de Sitter Space and Its Extensions
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