Fine structure of Jackiw-Teitelboim quantum gravity

DOI10.1007/JHEP09(2019)066zbMATH Open1423.83022arXiv1812.00918WikidataQ112153879 ScholiaQ112153879MaRDI QIDQ2332224

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Publication date: 1 November 2019

Published in: (Search for Journal in Brave)

Abstract: We investigate structural aspects of JT gravity through its BF description. In particular, we provide evidence that JT gravity should be thought of as (a coset of) the noncompact subsemigroup SL${}^{+}$(2,R) BF theory. We highlight physical implications, including the famous sinh Plancherel measure. Exploiting this perspective, we investigate JT gravity on more generic manifolds with emphasis on the edge degrees of freedom on entangling surfaces and factorization. It is found that the one-sided JT gravity degrees of freedom are described not just by a Schwarzian on the asymptotic boundary, but also include frozen SL${}^{+}$(2,R) degrees of freedom on the horizon, identifiable as JT gravity black hole states. Configurations with two asymptotic boundaries are linked to 2d Liouville CFT on the torus surface.

Full work available at URL: https://arxiv.org/abs/1812.00918

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