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Related papers: Multi-boundary correlators in JT gravity

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In this paper we use the covariant Peierls bracket to compute the algebra of a sizable number of diffeomorphism-invariant observables in classical Jackiw-Teitelboim gravity coupled to fairly arbitrary matter. We then show that many recent…

High Energy Physics - Theory · Physics 2022-06-01 Daniel Harlow , Jie-qiang Wu

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 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 consider Jackiw-Teitelboim gravity with a massless matter field and turn on bulk excitations leading to a nontrivial vev of the corresponding dual boundary operator. To leading order, we realize the corresponding deformation of…

High Energy Physics - Theory · Physics 2023-06-13 Dongsu Bak , Chanju Kim , Sang-Heon Yi

We consider multi-point correlation functions in the open XXZ chain with longitudinal boundary fields and in a uniform external magnetic field. We show that, at finite temperature, these correlation functions can be written in the quantum…

Exactly Solvable and Integrable Systems · Physics 2023-03-22 Karol K. Kozlowski , Véronique Terras

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

We study the boundary correlation functions in Liouville theory and in solvable statistical models of 2D quantum gravity. In Liouville theory we derive functional identities for all fundamental boundary structure constants, similar to the…

High Energy Physics - Theory · Physics 2010-04-05 Ivan K. Kostov , Benedicte Ponsot , Didina Serban

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 construct various limits of JT gravity, including Newton-Cartan and Carrollian versions of dilaton gravity in two dimensions as well as a theory on the three-dimensional light cone. In the BF formulation our boundary conditions relate…

High Energy Physics - Theory · Physics 2022-02-07 Daniel Grumiller , Jelle Hartong , Stefan Prohazka , Jakob Salzer

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 study the boundary effective action of the colored version of the Jackiw-Teitelboim (JT) gravity. We derive the boundary action, which is the color generalization of the Schwarzian action, from the $su(N,N)$ BF formulation of the colored…

High Energy Physics - Theory · Physics 2022-10-19 K. B. Alkalaev , Euihun Joung , Junggi Yoon

We calculate a class of two-point boundary correlators in 2D quantum gravity using its microscopic realization as loop gas on a random surface. We find a perfect agreement with the two-point boundary correlation function in Liouville…

High Energy Physics - Theory · Physics 2010-04-05 Ivan K. Kostov

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

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

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

JT gravity has a first-order formulation as a two-dimensional BF theory, which can be viewed as the dimensional reduction of the Chern-Simons description of $3d$ gravity. We consider $T\bar{T}$-type deformations of the $(0+1)$-dimensional…

High Energy Physics - Theory · Physics 2022-10-19 Stephen Ebert , Christian Ferko , Hao-Yu Sun , Zhengdi Sun

We propose the three-dimensional bulk dual for Jackiw-Teitelboim gravity coupled with CFT$_2$ bath based on partial reduction. The bulk dual is classical AdS gravity with a defect brane which has small fluctuation in transverse direction.…

High Energy Physics - Theory · Physics 2023-02-28 Feiyu Deng , Yu-Sen An , Yang Zhou

We study the correlation functions of local operators in unitary $\textrm{T}\bar{\textrm{T}}$-deformed field theories, using their formulation in terms of Jackiw-Teitelboim gravity. The position of the operators is defined using the…

High Energy Physics - Theory · Physics 2024-12-05 Ofer Aharony , Netanel Barel

The abstract theory of boundary triples is applied to the classical Jacobi differential operator and its powers in order to obtain the Weyl $m$-function for several self-adjoint extensions with interesting boundary conditions: separated,…

Functional Analysis · Mathematics 2019-11-22 Dale Frymark

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