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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 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

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 show that the partition function of quantum Jackiw-Teitelboim (JT) gravity, including topological fluctuations, is equivalent to the partition function of a Maass-Laplace operator of large -- imaginary -- weight acting on non-compact,…

High Energy Physics - Theory · Physics 2019-11-26 Antonio M. García-García , Salomón Zacarías

We develop the gauge theory formulation of $\mathcal{N}=1$ Jackiw-Teitelboim supergravity in terms of the underlying $\text{OSp}(1|2, \mathbb{R})$ supergroup, focusing on boundary dynamics and the exact structure of gravitational…

High Energy Physics - Theory · Physics 2022-08-10 Yale Fan , Thomas G. Mertens

We study canonical quantization of Jackiw-Teibelboim (JT) gravity coupled to a massless scalar field. We provide concrete expressions of matter SL(2,{\,\bf R}) charges and the boundary matter operators in terms of the creation and…

High Energy Physics - Theory · Physics 2023-05-24 Dongsu Bak , Chanju Kim , Sang-Heon Yi

We propose a microscopic definition of finite cut-off JT quantum gravity on the disk, both in the discretized and in the continuum points of view. The discretized formulation involves a new model of so-called self-overlapping random…

High Energy Physics - Theory · Physics 2025-02-18 Frank Ferrari

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

We give a prescription for minimally coupling massive matter to JT gravity with either sign of cosmological constant directly in its formulation as a topological BF theory. This coupling takes the form of a `Wilson spool,' originally…

High Energy Physics - Theory · Physics 2025-09-03 Jackson R. Fliss

We consider on the bulk side extensions of the Sachdev--Ye--Kitaev (SYK) model to Yang--Mills and higher spins. To this end we study generalizations of the Jackiw--Teitelboim (JT) model in the BF formulation. Our main goal is to obtain…

High Energy Physics - Theory · Physics 2018-05-23 Hernán A. González , Daniel Grumiller , Jakob Salzer

We study the gravitational edge mode in the $\mathcal{N}=1$ Jackiw-Teitelboim~(JT) supergravity on the disk and it $osp(2|1)$ BF formulation. We revisit the derivation of the finite-temperature Schwarzian action in the conformal gauge of…

High Energy Physics - Theory · Physics 2024-03-27 Kyungsun Lee , Akhil Sivakumar , Junggi Yoon

We formulate AdS_2 higher spin gravity as BF theory with fields taking values in sl(N,R) algebra treated as higher spin algebra. The theory is topological and naturally extends the Jackiw-Teitelboim gravity model so as to include higher…

High Energy Physics - Theory · Physics 2015-06-18 K. B. Alkalaev

In this contribution, we re-assess the subject of topological gravity by following the Shift Supersymmetry formalism. The gauge-fixing of the theory goes under the Batallin-Vilkovisky (BV) prescription based on a diagram that contains both…

General Relativity and Quantum Cosmology · Physics 2018-08-09 José A. Lourenço , José A. Helayël Neto , Wesley Spalenza

We study the thermal partition function of Jackiw-Teitelboim (JT) gravity in asymptotically Euclidean $AdS_2$ background using the matrix model description recently found by Saad, Shenker and Stanford [arXiv:1903.11115]. We show that the…

High Energy Physics - Theory · Physics 2020-02-19 Kazumi Okuyama , Kazuhiro Sakai

We investigate the asymptotic symmetry structure of two--dimensional dilaton gravity in its $\mathcal{N}=1$ supersymmetric extension based on the $\mathfrak{osp}(1|2)$ Lie superalgebra. Within the BF theoretical framework, we analyze affine…

High Energy Physics - Theory · Physics 2026-03-09 H. T. Özer , Aytül Filiz

The low-energy behavior of near-extremal black holes can be understood from the near-horizon AdS_2 region. In turn, this region is effectively described by using Jackiw-Teitelboim gravity coupled to Yang-Mills theory through the…

High Energy Physics - Theory · Physics 2019-09-16 Luca V. Iliesiu

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

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…

High Energy Physics - Theory · Physics 2019-09-23 Andreas Blommaert , Thomas G. Mertens , Henri Verschelde

We study a series of powerful correspondences among new multi-gravity extensions of the Jackiw-Teitelboim model, multi-SYK models and multi-Schwarzian quantum mechanics, in the $\rm{(A)dS_{2}/CFT}$ arena. Deploying a $BF$-like formulation…

High Energy Physics - Theory · Physics 2021-06-07 Andrea Addazi , Jakub Bilski , Qingyu Gan , Antonino Marciano
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