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One-dimensional Quantum Gravity and the Schwarzian theory

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arxiv 2112.03793 v2 pith:OKTTWYBD submitted 2021-12-07 hep-th

classification hep-th
keywords modelquantumgaugegravityone-dimensionalpropertiesschwarziantheory
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abstract

We develop a model of one-dimensional (Conformal) Quantum Gravity. By discussing the connection between Goldstone and Gauge theories, we establish that this model effectively computes the partition function of the Schwarzian theory where the $\textrm{SL}(2,\mathbb{R})$ symmetry is realized on the base space. The computation is straightforward, involves a local quantum measure and does not rely on localization arguments. Non-localities in the model are exclusively related to the value of fixed gauge invariant moduli. Furthermore, we study the properties of these models when all degrees of freedom are allowed to fluctuate. We discuss the UV finiteness properties of these systems and the emergence of a Planck's length.

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  1. JT gravity on the worldline

    hep-th 2026-07 conditional novelty 7.0 of 10

    Coupling a worldline observer to JT gravity replaces its evolution operator by an exactly computed average over fluctuating Euclidean times; the fluctuations are small in the disk but large on the double trumpet.

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