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We formulate the path integral for Jackiw-Teitelboim gravity in the second order formalism working directly with the metric and the dilaton. We consider the theory both in Anti-de Sitter(AdS) and de Sitter space(dS) and analyze the path…

High Energy Physics - Theory · Physics 2021-11-17 Upamanyu Moitra , Sunil Kumar Sake , Sandip P. Trivedi

In this paper we relate volumes of moduli spaces of super Riemann surfaces to integrals over the moduli space of stable Riemann surfaces $\overline{\cal M}_{g,n}$. This allows us to prove via algebraic geometry a recursion between the…

Algebraic Geometry · Mathematics 2025-12-24 Paul Norbury

Recently, a new method was introduced for computing $V_{g,1}(b)$, the Weil-Petersson volumes of the moduli space of Riemann surfaces of genus $g$ with one geodesic boundary of length $b$, various supersymmetric generalizations of them, as…

High Energy Physics - Theory · Physics 2026-02-23 Clifford V. Johnson , João Rodrigues

We point out a correspondence between the Jackiw--Teitelboim (JT) gravity and the stationary measure of the Kardar--Parisi--Zhang (KPZ) equation on an interval. By relating the Schwarzian limit of the double-scaled SYK to the weakly…

High Energy Physics - Theory · Physics 2025-11-05 Masataka Watanabe

We introduce the colored version of Jackiw-Teitelboim (JT) gravity which is the two-dimensional dilaton gravity model with matrix-valued fields. It is straightforwardly formulated in terms of BF action with $su(N,N)$ gauge algebra so that…

High Energy Physics - Theory · Physics 2022-10-12 K. B. Alkalaev , Euihun Joung , Junggi Yoon

In this paper, we prove a conjecture of Alexandrov that the generalized Brezin-Gross-Witten tau-functions are hypergeometric tau functions of BKP hierarchy after re-scaling. In particular, this shows that the original BGW tau-function,…

Exactly Solvable and Integrable Systems · Physics 2022-07-20 Xiaobo Liu , Chenglang Yang

Significant progresses have been made recently in understanding the spectral form factor of Jackiw-Teitelboim gravity, particularly at late times where non-perturbative effects are expected to play a dominant role. By focusing on a peculiar…

High Energy Physics - Theory · Physics 2023-12-21 Luca Griguolo , Jacopo Papalini , Lorenzo Russo , Domenico Seminara

In this paper we study a connection between Jackiw-Teitelboim (JT) gravity on two-dimensional anti de-Sitter spaces and a semiclassical limit of $c<1$ two-dimensional string theory. The world-sheet theory of the latter consists of a…

High Energy Physics - Theory · Physics 2021-12-08 Kenta Suzuki , Tadashi Takayanagi

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 derive explicit expressions for a specific subclass of Jackiw-Teitelboim (JT) gravity bilocal correlators, corresponding to degenerate Virasoro representations. On the disk, these degenerate correlators are structurally simple, and they…

High Energy Physics - Theory · Physics 2021-05-04 Thomas G. Mertens

We study aspects of Jackiw-Teitelboim (JT) quantum gravity in two-dimensional nearly de Sitter (dS) spacetime, as well as pure de Sitter quantum gravity in three dimensions. These are each theories of boundary modes, which include a…

High Energy Physics - Theory · Physics 2025-07-15 Jordan Cotler , Kristan Jensen , Alexander Maloney

We discuss JT gravity in AdS and dS space in the second order formalism. For the pure dS JT theory without matter, we show that the path integral gives rise in general to the Hartle-Hawking wave function which describes an arbitrary number…

High Energy Physics - Theory · Physics 2022-07-13 Upamanyu Moitra , Sunil Kumar Sake , Sandip P. Trivedi

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

Recently, it has been found that JT gravity, which is a two-dimensional theory with bulk action $ -\frac{1}{2}\int {\mathrm d}^2x \sqrt g\phi(R+2)$, is dual to a matrix model, that is, a random ensemble of quantum systems rather than a…

High Energy Physics - Theory · Physics 2021-03-17 Edward Witten

We study $\mathcal{N}=2$ supersymmetric Jackiw-Teitelboim (JT) gravity at finite temperature coupled to matter. The matter fields are related to superconformal primaries by AdS/CFT duality. Due to broken super reparametrisation invariance…

High Energy Physics - Theory · Physics 2022-11-09 Ruben Campos Delgado , Stefan Forste

Thomas-Whitehead (TW) gravity was recently introduced as a projective gauge theory of gravity over a d-dimensional manifold that embeds reparameterization invariance into the action functional for gravitation through the use of the…

High Energy Physics - Theory · Physics 2022-08-31 Calvin Mera , Vincent G. J. Rodgers , Patrick Vecera

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 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

We present the exact solution for the scattering problem in the flat space Jackiw-Teitelboim (JT) gravity coupled to an arbitrary quantum field theory. JT gravity results in a gravitational dressing of field theoretical scattering…

High Energy Physics - Theory · Physics 2021-11-02 Sergei Dubovsky , Victor Gorbenko , Mehrdad Mirbabayi

We propose a generalization of the Saad-Shenker-Stanford duality relating matrix models and JT gravity to the case in which the bulk includes higher spin fields. Using a $\textsf{PSL}(N,\mathbb{R})$ BF theory we compute the disk and…

High Energy Physics - Theory · Physics 2022-09-21 Jorrit Kruthoff