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In this paper, we use the Karch-Randall braneworld to study theories of quantum gravity in two dimensional (nearly) anti-de Sitter space (AdS$_2$). We focus on effective gravitational theories in the setup with two Karch-Randall branes…

High Energy Physics - Theory · Physics 2022-09-21 Hao Geng

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 present a field theory description for the non-perturbative splitting and joining of baby universes in Euclidean Jackiw-Teitelboim (JT) gravity. We show how the gravitational path integral, defined as a sum over topologies, can be…

High Energy Physics - Theory · Physics 2022-06-08 Boris Post , Jeremy van der Heijden , Erik Verlinde

We derive the low-energy effective theory of gravity for a generalized Randall-Sundrum scenario, allowing for a third self-gravitating brane to live in the 5D bulk spacetime. At zero order the 5D spacetime is composed of two slices of…

High Energy Physics - Theory · Physics 2008-11-26 Ludovica Cotta-Ramusino , David Wands

We investigate generalized Jackiw-Teitelboim gravity, coupling the dilaton field with two scalar matter fields. We obtain the equations of motion of the fields and investigate the linear perturbation of the solutions in general. We study…

High Energy Physics - Theory · Physics 2022-12-05 I. Andrade , D. Bazeia , A. S. Lobão , R. Menezes

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 analyze deformations of $\mathcal{N}=1$ Jackiw-Teitelboim (JT) supergravity by adding a gas of defects, equivalent to changing the dilaton potential. We compute the Euclidean partition function in a topological expansion and find that it…

High Energy Physics - Theory · Physics 2022-03-14 Felipe Rosso , Gustavo J. Turiaci

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

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

It was proven recently that JT gravity can be defined as an ensemble of L x L Hermitian matrices. We point out that the eigenvalues of the matrix correspond in JT gravity to FZZT-type boundaries on which spacetimes can end. We then…

High Energy Physics - Theory · Physics 2021-04-13 Andreas Blommaert , Thomas G. Mertens , Henri Verschelde

We derive the four-dimensional field equations for the induced metric and scalar field on the world-volume of a 3-brane in a five-dimensional bulk with Einstein gravity plus a self-interacting scalar field. We calculate the effective…

High Energy Physics - Theory · Physics 2009-10-31 Kei-ichi Maeda , David Wands

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

It is well known that Jackiw-Teitelboim (JT) gravity posses the simplest theory on 2-dimensional gravity. The model has been fruitfully studied in recent years. In the present work, we investigate exact solutions for both JT and deformed JT…

High Energy Physics - Theory · Physics 2021-06-24 Davood Momeni , Phongpichit Channuie

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

Super-exponential warp factors have been proposed in the context of two-brane models to solve the gauge hierarchy problem of scales by using a compactification scale of the same order of the fundamental Planck scale, completely eliminating…

We study a Jackiw-Teitelboim (JT) supergravity theory, defined as an Euclidean path integral over orientable supermanifolds with constant negative curvature, that was argued by Stanford and Witten to be captured by a random matrix model in…

High Energy Physics - Theory · Physics 2021-10-27 Clifford V. Johnson , Felipe Rosso , Andrew Svesko

We describe new boundary conditions for AdS$_2$ in Jackiw-Teitelboim gravity. The asymptotic symmetry group is enhanced to $\r{Diff}(S^1)\ltimes C^\infty(S^1)$ whose breaking to $\r{SL}(2,\R)\times \r{U}(1)$ controls the near-AdS$_2$…

High Energy Physics - Theory · Physics 2020-12-30 Victor Godet , Charles Marteau

We extend a 2d topological model of the gravitational path integral to include sums over spin structure, corresponding to Neveu-Schwarz (NS) or Ramond (R) boundary conditions for fermions. The Euclidean path integral vanishes when the…

High Energy Physics - Theory · Physics 2020-10-28 Vijay Balasubramanian , Arjun Kar , Simon F. Ross , Tomonori Ugajin

By adopting the idea of Born-Infeld electromagnetism, the Born-Infeld determinantal gravity in Weitzenb\"ock spacetime provides a way to smooth the Big Bang singularity at the classical level. We consider a thick braneworld scenario in the…

High Energy Physics - Theory · Physics 2023-01-03 Ke Yang , Hao Yu , Yi Zhong

We present the effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the $Z_2$ symmetric brane. Applying…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Kei-ichi Maeda , Shuntaro Mizuno , Takashi Torii
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