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It is proposed that a family of Jackiw-Teitelboim supergravites, recently discussed in connection with matrix models by Stanford and Witten, can be given a complete definition, to all orders in the topological expansion and beyond, in terms…

High Energy Physics - Theory · Physics 2021-02-24 Clifford V. Johnson

Some recently proposed definitions of Jackiw-Teitelboim gravity and supergravities in terms of combinations of minimal string models are explored, with a focus on physics beyond the perturbative expansion in spacetime topology. While this…

High Energy Physics - Theory · Physics 2021-02-24 Clifford V. Johnson

Recently, Saad, Shenker and Stanford showed how to define the genus expansion of Jackiw-Teitelboim quantum gravity in terms of a double-scaled Hermitian matrix model. However, the model's non-perturbative sector has fatal instabilities at…

High Energy Physics - Theory · Physics 2020-05-06 Clifford V. Johnson

In this paper, we study a particular deformation of the Jackiw-Teitelboim gravity recently considered by Maxfield, Turiaci and independently by Witten. We will compute the partition function of this model as well as its higher order…

High Energy Physics - Theory · Physics 2021-02-18 Mohsen Alishahiha , Amin Faraji Astaneh , Ghadir Jafari , Ali Naseh , Behrad Taghavi

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 analyse the Jackiw-Teitelboim model of 2D gravity coupled to $N$ massless free scalar fields in the semi-classical limit. Two systems are studied which essentially differ in the boundary conditions that are imposed. We find that the…

High Energy Physics - Theory · Physics 2020-05-20 Upamanyu Moitra , Sunil Kumar Sake , Sandip P. Trivedi , V. Vishal

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

The quenched free energy, $F_Q(T){=}{-}T\langle \ln Z(T)\rangle$, of various JT gravity and supergravity theories is explored, taking into account the key non-perturbative physics that is accessible using their matrix model formulations.…

High Energy Physics - Theory · Physics 2021-06-29 Clifford V. Johnson

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

Sharpening the holographic correspondence of Jackiw-Teitelboim (JT) gravity and its dual matrix model description at a finite radial cutoff $\lambda$ through the $T\overline{T}$ deformation is of interest. To proceed, we simplify the…

High Energy Physics - Theory · Physics 2022-08-08 Stephen Ebert , Hao-Yu Sun , Zhengdi Sun

A number of supersymmetric Jackiw-Teitelboim (JT) gravity theories are known to be described (in the Euclidean path integral formulation) by double-scaled random matrix models. Such matrix models can be characterized using a certain…

High Energy Physics - Theory · Physics 2025-07-11 Clifford V. Johnson , Maciej Kolanowski

For ensembles of Hamiltonians that fall under the Dyson classification of random matrices with $\beta \in \{1,2,4\}$, the low-temperature mean entropy can be shown to vanish as $\langle S(T)\rangle\sim \kappa T^{\beta+1}$. A similar…

High Energy Physics - Theory · Physics 2021-06-30 Oliver Janssen , Mehrdad Mirbabayi

We present the results for the low energy properties of the infinite dimensional t-J model with $J=0$, using $O(\lambda^2)$ equations of the extremely correlated Fermi liquid formalism. The parameter $\lambda \in [0,1]$ is analogous to the…

Strongly Correlated Electrons · Physics 2016-08-03 B Sriram Shastry , Edward Perepelitsky

A large class of two dimensional quantum gravity theories of Jackiw-Teitelboim form have a description in terms of random matrix models. Such models, treated fully non-perturbatively, can give an explicit and tractable description of the…

High Energy Physics - Theory · Physics 2021-11-10 Clifford V. Johnson

We present evidence for a duality between Jackiw-Teitelboim gravity minimally coupled to a free massive scalar field and a single-trace two-matrix model. One matrix is the Hamiltonian $H$ of a holographic disorder-averaged quantum…

High Energy Physics - Theory · Physics 2023-01-04 Daniel Louis Jafferis , David K. Kolchmeyer , Baur Mukhametzhanov , Julian Sonner

It is shown that the distribution of the lowest energy eigenvalue of the quantum completions of Jackiw-Teitelboim gravity is completely described by a non-linear ordinary differential equation (ODE) arising from a non-perturbative treatment…

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

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 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 study quantum cosmology of the $2D$ Jackiw-Teitelboim (JT) gravity with $\Lambda>0$ and calculate the Hartle-Hawking (HH) wave function for this model in the minisuperspace framework. Our approach is guided by the observation that the JT…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Georgios Fanaras , Alexander Vilenkin

The antiferromagnetic $J_1-J_2$ model is a spin-1/2 chain with isotropic exchange $J_1 > 0$ between first neighbors and $J_2 = \alpha J_1$ between second neighbors. The model supports both gapless quantum phases with nondegenerate ground…

Strongly Correlated Electrons · Physics 2021-06-29 Sudip Kumar Saha , Manodip Routh , Manoranjan Kumar , Zoltán G. Soos
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