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We introduce a framework for quantifying random matrix behavior of 2d CFTs and AdS$_3$ quantum gravity. We present a 2d CFT trace formula, precisely analogous to the Gutzwiller trace formula for chaotic quantum systems, which originates…

High Energy Physics - Theory · Physics 2023-11-06 Gabriele Di Ubaldo , Eric Perlmutter

We compute the path integral of three-dimensional gravity with negative cosmological constant on spaces which are topologically a torus times an interval. These are Euclidean wormholes, which smoothly interpolate between two asymptotically…

High Energy Physics - Theory · Physics 2022-07-28 Jordan Cotler , Kristan Jensen

We develop a non-perturbative definition of RMT${}_2$: a generalization of random matrix theory that is compatible with the symmetries of two-dimensional conformal field theory. Given any random matrix ensemble, its $n$-point spectral…

High Energy Physics - Theory · Physics 2025-11-20 Jan Boruch , Gabriele Di Ubaldo , Felix M. Haehl , Eric Perlmutter , Moshe Rozali

We reconsider the role of wormholes in the AdS/CFT correspondence. We focus on Euclidean wormholes that connect two asymptotically AdS or hyperbolic regions with $\mathbb{S}^1\times \mathbb{S}^{d-1}$ boundary. There is no solution to…

High Energy Physics - Theory · Physics 2022-11-30 Jordan Cotler , Kristan Jensen

The wormhole contribution to the gravitational path integral may be interpreted as smooth remnant of correlations among the erratic large-$N$ behaviors of dual CFTs. In this work, we investigate this idea in (2+1)-dimensional gravity. We…

High Energy Physics - Theory · Physics 2026-05-28 Qi-Feng Wu

Three dimensional wormholes are global solutions of Einstein-Hilbert action. These space-times which are quotients of a part of global AdS$_{3}$ have multiple asymptotic regions, each with conformal boundary $S^{1}\times\mathbb{R}$, and…

High Energy Physics - Theory · Physics 2023-05-10 Hamed Zolfi

In 6D general relativity with a scalar field as a source of gravity, a new type of static wormhole solutions is presented: such wormholes connect our universe with a small 2D extra subspace with a universe where this extra subspace is…

General Relativity and Quantum Cosmology · Physics 2016-12-07 K. A. Bronnikov , M. V. Skvortsova

We investigate the connection between spacetime wormholes and ensemble averaging in the context of higher spin AdS$_3$/CFT$_2$. Using techniques from modular bootstrap combined with some holographic inputs, we evaluate the partition…

High Energy Physics - Theory · Physics 2021-10-08 Diptarka Das , Shouvik Datta

We show that toroidal compactification of type II string theory to six dimensions admits axionic euclidean wormhole solutions. These wormholes can be inserted into $AdS_3 \times S^3 \times T^4$ backgrounds, which have a well-defined CFT…

High Energy Physics - Theory · Physics 2009-04-22 Nima Arkani-Hamed , Jacopo Orgera , Joseph Polchinski

We obtain a large class of smooth Lorentzian p-brane wormholes in supergravities in various dimensions. They connect two asymptotically flat spacetimes. In cases where there is no dilaton involved in the solution, the wormhole can connect…

High Energy Physics - Theory · Physics 2009-01-14 A. Bergman , H. Lu , Jianwei Mei , C. N. Pope

A large class of flat big bang - big crunch cosmologies with negative cosmological constant are related by analytic continuation to asymptotically AdS traversable wormholes with planar cross section. In recent works (arXiv: 2102.05057,…

High Energy Physics - Theory · Physics 2022-10-19 Stefano Antonini , Petar Simidzija , Brian Swingle , Mark Van Raamsdonk

We construct higher dimensional Euclidean AdS wormhole solutions that reproduce the statistical description of the correlation functions of an ensemble of heavy CFT operators. We consider an operator which effectively backreacts on the…

High Energy Physics - Theory · Physics 2023-04-05 Martin Sasieta

We study two-sided static wormholes with an exact Killing symmetry that translates both mouths of the wormhole toward the future. This differs from the familiar Kruskal wormhole whose time translation is future-directed only in one…

High Energy Physics - Theory · Physics 2016-12-08 Zicao Fu , Donald Marolf , Eric Mefford

We present the complete family of solutions of 3D gravity (Lambda<0) with two asymptotically AdS exterior regions. The solutions are constructed from data at the two boundaries, which correspond to two independent and arbitrary stress…

High Energy Physics - Theory · Physics 2015-06-19 Gautam Mandal , Ritam Sinha , Nilakash Sorokhaibam

Pure 3d gravity in AdS is believed to admit a holographic description in terms of 2d CFT. We introduce a theory of fermionic 3d gravity where we sum over geometries equipped with spin structure, and propose it is holographically described…

High Energy Physics - Theory · Physics 2026-03-16 Jan Boruch , Elisa Tabor , Gustavo J. Turiaci

Two spherically symmetric, static Lorentzian wormholes are obtained in tetrad theory of gravitation as a solution of the equation $\rho=\rho_t=0$, where $\rho=T_{ij}u^iu^j, \rho_t=(T_{ij}-{1/2}Tg_{ij})u^iu^j$ and $u^iu_i=-1$. This equation…

General Relativity and Quantum Cosmology · Physics 2009-09-24 Gamal Gergess Lamee Nashed

We introduce a geometric path integral definition of wormhole partition functions in a general class of 1D quantum systems obtained by quantizing a phase space. We compute the wormhole partition function in a semi-classical limit and in…

High Energy Physics - Theory · Physics 2021-05-06 Herman Verlinde

We study nonperturbative effects of quantum gravity in a system consisting of a coupled pair of holographic CFTs. The AdS$_4$/CFT$_3$ system has three possible ground states: two copies of empty AdS, a pair of extremal AdS black holes, and…

High Energy Physics - Theory · Physics 2024-03-12 Suzanne Bintanja , Ben Freivogel , Andrew Rolph

We investigate the structure of two point functions for the QFT dual to an asymptotically Lorentzian AdS-wormhole. The bulk geometry is a solution of 5-dimensional second order Einstein Gauss Bonnet gravity and causally connects two…

High Energy Physics - Theory · Physics 2011-05-10 Raúl E. Arias , Marcelo Botta-Cantcheff , Guillermo A. Silva

The two-sided BTZ black hole has been instrumental in elucidating several aspects of AdS/CFT. Similarly, multiboundary wormholes provide a useful and rich arena in which probing questions of quantum gravity can be posed and explored. In…

High Energy Physics - Theory · Physics 2020-02-26 Elena Caceres , Arnab Kundu , Ayan K. Patra , Sanjit Shashi
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