An exact quantization of Jackiw-Teitelboim gravity

Luca V. Iliesiu, Silviu S. Pufu, Herman Verlinde, Yifan Wang

Research output: Contribution to journalArticle

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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, 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 languageEnglish (US)
Article number91
JournalJournal of High Energy Physics
Volume2019
Issue number11
DOIs
StatePublished - 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

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