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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

Luca V. Iliesiu , Silviu S. Pufu , Herman Verlinde , Yifan Wang This is my paper · ORCID
classification hep-th
keywords theorygravityexactfunctiongaugejackiw-teitelboimlinesmathbb
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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.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exact Schwarzian Metric Factor and Holographic Wilson-Loop Screening

    hep-th 2026-07 accept novelty 7.0 of 10

    Exact Schwarzian averaging yields a completely monotone metric factor with no confining minimum, so the Wilson-loop potential screens as E(L) ~ -κ_IR/L² rather than confining.

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  3. Falling through the horizon of a quantum black hole

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    Gravitational dressing in JT gravity lets an infalling Unruh-DeWitt detector detect the horizon location and temperature locally, violating the equivalence principle without a firewall.

  4. Quantum gravity around ultracold black holes from DSSYK

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    Ultracold Reissner-Nordström de Sitter black hole fluctuations are proposed to be described by a gauged near-flat dilaton gravity model with a Gaussian spectral density, yielding a finite partition function and dynami...

  5. Classical Unattainability of Extremality in non-BPS D-brane Systems

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    For a two-dimensional corner symmetry algebra, coherent corner states give an entanglement entropy that scales with the area when mapped to near-extremal Reissner-Nordström black holes.

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