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This is a careful examination of the key components of a large $N$ random matrix model method for going beyond ordinary JT gravity's topological expansion to define non-perturbative physics. It is offered as a simple and (hopefully) clear…

High Energy Physics - Theory · Physics 2022-06-03 Clifford V. Johnson

We describe gauge theories which allow to retrieve a large class of gravitational theories, including, MacDowell-Mansouri gravity and its topological extension to Loop Quantum Gravity via the Pontrjagin characteristic class involving the…

General Relativity and Quantum Cosmology · Physics 2026-01-07 J. Thibaut , S. Lazzarini

We first exhibit in the commutative case the simple algebraic relations between the algebra of functions on a manifold and its infinitesimal length element $ds$. Its unitary representations correspond to Riemannian metrics and Spin…

High Energy Physics - Theory · Physics 2009-10-30 A. Connes

We derive the gravity duals of noncommutative gauge theories from the Yang-Baxter sigma model description of the AdS_5xS^5 superstring with classical r-matrices. The corresponding classical r-matrices are 1) solutions of the classical…

High Energy Physics - Theory · Physics 2015-06-19 Takuya Matsumoto , Kentaroh Yoshida

A review of some errors made by the author and others in their search for quantum models of gravity in cosmological space-times that asymptote to de Sitter (dS) space in the future. The "static de Sitter Hamiltonian", which measures the…

High Energy Physics - Theory · Physics 2024-05-06 Tom Banks

The cosmological observations provide a strong evidence that there is a positive cosmological constant in our universe and thus the spacetime is asymptotical de Sitter space. The conjecture of gravity as the weakest force in the…

High Energy Physics - Theory · Physics 2009-11-11 Qing-Guo Huang , Miao Li , Wei Song

In this letter, we show that Jackiw-Teitelboim (JT) gravity can be naturally realized in the Karch-Randall braneworld. Notably the role of the dilaton in JT gravity is played by the radion in a suitably orbifolded version of the setup. In…

High Energy Physics - Theory · Physics 2022-12-14 Hao Geng , Andreas Karch , Carlos Perez-Pardavila , Suvrat Raju , Lisa Randall , Marcos Riojas , Sanjit Shashi

Realizing dark energy and the observed de Sitter spacetime in quantum gravity has proven to be obstructed in most every usual approach. We argue that additional degrees of freedom of the left- and right-movers in string theory and a…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Per Berglund , Tristan Hubsch , Djordje Minic

We propose a refined expression for the large genus asymptotics of the Weil-Petersson volumes of the moduli space of super-Riemann surfaces with an arbitrary number of boundaries. Our formula leverages the connection between JT supergravity…

High Energy Physics - Theory · Physics 2024-12-11 Luca Griguolo , Jacopo Papalini , Lorenzo Russo , Domenico Seminara

We describe the duality between the gravitating $c=1$ (compact) Sine-Gordon model and a normal matrix model. From a two-dimensional quantum gravity perspective and due to the periodic nature of the potential, this model admits both anti-de…

High Energy Physics - Theory · Physics 2025-10-16 Panos Betzios

We propose that for every event in de Sitter space, there is a CPT-conjugate event at its antipode. Such an ``elliptic'' $Z_2$-identification of de Sitter space provides a concrete realization of observer complementarity: every observer has…

High Energy Physics - Theory · Physics 2009-11-07 Maulik K. Parikh , Ivo Savonije , Erik Verlinde

Constructing an explicit compactification yielding a metastable de Sitter (dS) vacuum in a UV consistent string theory is an incredibly difficult open problem. Motivated by this issue, as well as the conjecture that all non-supersymmetric…

High Energy Physics - Theory · Physics 2019-10-16 Souvik Banerjee , Ulf Danielsson , Giuseppe Dibitetto , Suvendu Giri , Marjorie Schillo

We consider the Mielke-Baekler model of three-dimensional AdS gravity with torsion, which has gravitational and translational Chern-Simons terms in addition to the usual Einstein-Hilbert action with cosmological constant. It is shown that…

High Energy Physics - Theory · Physics 2008-11-26 Dietmar Klemm , Giovanni Tagliabue

Regge-Teitelboim embedding gravity is the modified gravity based on a simple string-inspired geometrical principle: our spacetime is considered here as a 4-dimensional surface in a flat bulk. This theory is similar to the recently popular…

General Relativity and Quantum Cosmology · Physics 2020-10-13 S. A. Paston

We study the gravitational edge mode of the Jackiw-Teitelboim (JT) gravity and its $sl(2,\mathbb{R})$ BF theory description with the asymptotic AdS$_2$ boundary condition. We revisit the derivation of the Schwarzian theory from the wiggling…

High Energy Physics - Theory · Physics 2024-03-11 Euihun Joung , Prithvi Narayan , Junggi Yoon

The accelerated expansion of the universe poses a significant challenge to General Relativity. Non-local modifications to gravity have emerged as a compelling class of theories to address this dark energy puzzle. Building upon earlier…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Susobhan Mandal , S. Shankaranarayanan

We consider a model of 2D gravity with the coefficient of the Einstein-Hilbert action having an imaginary part $\pi/2$. This is equivalent to introduce a $\Theta$-vacuum structure in the genus expansion whose effect is to convert the…

High Energy Physics - Theory · Physics 2009-10-28 G. Bonelli , P. A. Marchetti , M. Matone

The interplay between black hole interior dynamics and quantum chaos provides a crucial framework for probing quantum effects in quantum gravity. In this work, we investigate non-perturbative overlaps in Jackiw-Teitelboim (JT) gravity to…

High Energy Physics - Theory · Physics 2025-08-01 Masamichi Miyaji , Shan-Ming Ruan , Shono Shibuya , Kazuyoshi Yano

We show that the free energy at low temperatures for near-extremal black holes is correctly obtained from the Jackiw-Teitelboim (JT) model of gravity. Our arguments apply to all black holes, including rotating ones, whose metric has a…

High Energy Physics - Theory · Physics 2019-11-15 Upamanyu Moitra , Sunil Kumar Sake , Sandip P. Trivedi , V. Vishal

Generalized dilaton gravity in 2d is the most general consistent deformation of the Jackiw-Teitelboim model that maintains local Lorentz invariance. The action is generically not power-counting renormalizable, thus going beyond the class of…

High Energy Physics - Theory · Physics 2022-01-26 Daniel Grumiller , Romain Ruzziconi , Céline Zwikel