## 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, 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.

Original language | English (US) |
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Article number | 91 |

Journal | Journal of High Energy Physics |

Volume | 2019 |

Issue number | 11 |

DOIs | |

State | Published - Nov 1 2019 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Keywords

- 2D Gravity
- Field Theories in Lower Dimensions
- Gauge-gravity correspon- dence