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In this note we study the $1+1$ dimensional Jackiw-Teitelboim gravity in Lorentzian signature, explicitly constructing the gauge-invariant classical phase space and the quantum Hilbert space and Hamiltonian. We also semiclassically compute…

High Energy Physics - Theory · Physics 2019-11-11 Daniel Harlow , Daniel Jafferis

We develop a fully discrete and non-perturbative formulation of two-dimensional Jackiw-Teitelboim (JT) gravity within the BF framework. Using group-valued holonomies and Lie-algebra--valued dilatons, the bulk theory is shown to be purely…

High Energy Physics - Theory · Physics 2026-02-17 H. T. Özer , Aytül Filiz

We specify bulk coordinates in Jackiw-Teitelboim (JT) gravity using a boundary-intrinsic radar definition. This allows us to study and calculate exactly diff-invariant bulk correlation functions of matter-coupled JT gravity, which are found…

High Energy Physics - Theory · Physics 2019-09-18 Andreas Blommaert , Thomas G. Mertens , Henri Verschelde

Jackiw-Teitelboim (JT) gravity is a 1+1-dimensional toy model for quantum gravity in four spacetime dimensions. In the absence of matter, JT gravity is a topological field theory and there are no local observables. The introduction of a…

General Relativity and Quantum Cosmology · Physics 2020-12-04 Wolfgang Wieland

Recently proposed duality relates the critical level limit $\hat{k} \to -2$ of $SU(2)_{\hat{k}}$ WZW models to a classical three-dimensional Einstein gravity on a sphere. In this paper, we propose a dimensional reduced version of this…

High Energy Physics - Theory · Physics 2023-09-26 Kenta Suzuki , Yusuke Taki

We compute the partition function of $2D$ Jackiw-Teitelboim (JT) gravity at finite cutoff in two ways: (i) via an exact evaluation of the Wheeler-DeWitt wave-functional in radial quantization and (ii) through a direct computation of the…

High Energy Physics - Theory · Physics 2020-04-17 Luca V. Iliesiu , Jorrit Kruthoff , Gustavo J. Turiaci , Herman Verlinde

We attempt to understand the CFT$_1$ structure underlying (2+1)D gravity in flat spacetime via dimensional reduction. We observe that under superrotation, the hyperbolic (and dS$_2$) slices of flat spacetime transform to asymptotically…

High Energy Physics - Theory · Physics 2023-02-03 Arindam Bhattacharjee , Muktajyoti Saha

The study of 2-dimensional surfaces of constant curvature constitutes a beautiful branch of geometry with well-documented ties to the mathematical physics of integrable systems. A lesser known, but equally fascinating, fact is its…

High Energy Physics - Theory · Physics 2022-01-04 Jeff Murugan

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,…

High Energy Physics - Theory · Physics 2020-01-08 Luca V. Iliesiu , Silviu S. Pufu , Herman Verlinde , Yifan Wang

We propose that a class of new topologies, for which there is no classical solution, should be included in the path integral of three-dimensional pure gravity, and that their inclusion solves pathological negativities in the spectrum,…

High Energy Physics - Theory · Physics 2021-02-24 Henry Maxfield , Gustavo J. Turiaci

We revisit the late-time growth rate of various holographic complexity conjectures for neutral and charged AdS black holes with single or multiple horizons in two dimensional (2D) gravity like Jackiw-Teitelboim (JT) gravity and JT-like…

High Energy Physics - Theory · Physics 2020-09-10 Rong-Gen Cai , Song He , Shao-Jiang Wang , Yu-Xuan Zhang

Recently, it has been argued in [1] that Jackiw-Teitelboim (JT) gravity can be naturally realized in the Karch-Randall braneworld in $(2+1)$ dimensions. Using the `complexity=volume' proposal, we studied this model and computed the…

High Energy Physics - Theory · Physics 2023-07-11 Aranya Bhattacharya , Arpan Bhattacharyya , Ayan K. Patra

Two derivative Jackiw Teitelboim gravity theory captures the near horizon dynamics of higher dimensional near extremal black holes, which is governed by a Schwarzian action at the boundary in the near horizon region. The partition function…

High Energy Physics - Theory · Physics 2022-02-09 Nabamita Banerjee , Taniya Mandal , Arnab Rudra , Muktajyoti Saha

Jackiw Teitelboim (JT) gravity has proven to be an excellent tool for investigating aspects of quantum gravity and black hole physics. In recent years, the study of JT gravity and its deformations has helped us learn about the different…

High Energy Physics - Theory · Physics 2024-07-04 Eoin Dowd , Gaston Giribet

The Jackiw-Teitelboim (JT) model arises from the dimensional reduction of charged black holes. Motivated by the holographic complexity conjecture, we calculate the late-time rate of change of action of a Wheeler-DeWitt patch in the JT…

High Energy Physics - Theory · Physics 2019-03-06 Adam R. Brown , Hrant Gharibyan , Henry W. Lin , Leonard Susskind , Larus Thorlacius , Ying Zhao

We argue that a discrete bulk spectrum with random statistics appears naturally in the Lorentzian description of Jackiw-Teitelboim (JT) gravity if an extra confining potential is introduced in the region where the renormalized geodesic…

High Energy Physics - Theory · Physics 2025-10-21 Dongsu Bak , Chanju Kim , Sang-Heon Yi

It is well-known that the partition function of the Jackiw-Teitelboim (JT) gravity is obtained by an integral transformation of volumes of moduli spaces for Riemann surfaces, also known as the Weil-Petersson volumes. This fact enables us to…

High Energy Physics - Theory · Physics 2025-05-23 Yasuyuki Hatsuda , Takaki Matsumoto , Kazumi Okuyama

We study two-dimensional Jackiw-Teitelboim gravity on the disk topology by using a BF gauge theory in the presence of a boundary term. The system can be equivalently written in a supersymmetric way by introducing auxiliary gauginos and…

High Energy Physics - Theory · Physics 2023-07-06 Luca Griguolo , Luigi Guerrini , Rodolfo Panerai , Jacopo Papalini , Domenico Seminara

We review recent developments in Jackiw-Teitelboim (JT) gravity. This is a simple solvable model of quantum gravity in two dimensions (that arises e.g. from the s-wave sector of higher dimensional gravity systems with spherical symmetry).…

High Energy Physics - Theory · Physics 2023-08-22 Thomas G. Mertens , Gustavo J. Turiaci

We present exact results for partition functions of Jackiw-Teitelboim (JT) gravity on two-dimensional surfaces of arbitrary genus with an arbitrary number of boundaries. The boundaries are of the type relevant in the NAdS${}_2$/NCFT${}_1$…

High Energy Physics - Theory · Physics 2019-03-28 Phil Saad , Stephen H. Shenker , Douglas Stanford
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