An exact quantization of Jackiw-Teitelboim gravity

DOI10.1007/JHEP11(2019)091zbMATH Open1429.83063arXiv1905.02726OpenAlexW3106179789WikidataQ126651359 ScholiaQ126651359MaRDI QIDQ2292509

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Publication date: 3 February 2020

Published in: (Search for Journal in Brave)

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 $PSL(2,mathbbR)$ by $mathbbR$. 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.

Full work available at URL: https://arxiv.org/abs/1905.02726

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