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We perform a canonical quantization of pure gravity on AdS3 using as a technical tool its equivalence at the classical level with a Chern-Simons theory with gauge group SL(2,R)xSL(2,R). We first quantize the theory canonically on an…

High Energy Physics - Theory · Physics 2015-09-28 Jihun Kim , Massimo Porrati

Motivated by a low-energy effective description of gauge theory/string theory duality, we conjecture that the dynamics of $SO(4)$-invariant states in a large class of four-dimensional conformal gauge theories on $S^3$ with non-equal central…

High Energy Physics - Theory · Physics 2015-01-21 Alex Buchel , Stephen R. Green , Luis Lehner , Steven L. Liebling

In general relativity, perturbation theory about a background solution fails if the background spacetime has a Killing symmetry and a compact spacelike Cauchy surface. This failure, dubbed as {\it linearization instability}, shows itself as…

High Energy Physics - Theory · Physics 2019-01-25 Emel Altas , Bayram Tekin

We prove that any simple planar travelling wave solution to the membrane equation in spatial dimension $d \geq 3$ with bounded spatial extent is globally nonlinearly stable under sufficiently small compactly-supported perturbations, where…

Analysis of PDEs · Mathematics 2020-08-12 Leonardo Abbrescia , Willie Wai Yeung Wong

In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms. In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions. In the bulk, there can be gravitational…

High Energy Physics - Theory · Physics 2010-04-06 Per Kraus , Finn Larsen

Recently, a new nonlinear mechanism for black hole scalarization, different from the standard spontaneous scalarization, was demonstrated to exist for scalar Gauss-Bonnet theories in which no tachyonic instabilities can occur. Thus…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Kalin V. Staykov , Daniela D. Doneva

It is shown that General Relativity with negative cosmological constant in three spacetime dimensions admits a new family of boundary conditions being labeled by a nonnegative integer $k$. Gravitational excitations are then described by…

High Energy Physics - Theory · Physics 2016-07-20 Alfredo Pérez , David Tempo , Ricardo Troncoso

We find a simple parametrization of the anti-symmetric giant graviton in AdS_4 x CP^3, first constructed in arXiv:1108.3084 [hep-th], dual to the anti-symmetric Schur polynomial involving two bi-fundamental complex scalar fields of ABJM…

High Energy Physics - Theory · Physics 2012-07-10 Shinji Hirano , Charlotte Kristjansen , Donovan Young

We obtain new solutions of topologically massive gravity. We find the general Kundt solutions, which in three dimensions are spacetimes admitting an expansion-free null geodesic congruence. The solutions are generically of algebraic type…

High Energy Physics - Theory · Physics 2010-04-23 David D. K. Chow , C. N. Pope , Ergin Sezgin

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 study static black hole solutions with locally spherical horizons coupled to non-Abelian field in $\mathcal{N}=4$ Chern-Simons AdS$_5$ supergravity. They are governed by three parameters associated to the mass, axial torsion and…

High Energy Physics - Theory · Physics 2021-11-23 Laura Andrianopoli , Gaston Giribet , Darío López Díaz , Olivera Miskovic

We revisit the spectrum of pure quantum gravity in AdS$_3$. The computation of the torus partition function will -- if computed using a gravitational path integral that includes only smooth saddle points -- lead to a density of states which…

High Energy Physics - Theory · Physics 2020-06-03 Nathan Benjamin , Scott Collier , Alexander Maloney

The positivity of relative entropy for spatial subsystems in a holographic CFT implies the positivity of certain quantities in the dual gravitational theory. In this note, we consider CFT subsystems whose boundaries lie on the lightcone of…

High Energy Physics - Theory · Physics 2018-07-04 Dominik Neuenfeld , Krishan Saraswat , Mark Van Raamsdonk

Global charges and thermodynamic properties of three-dimensional higher spin black holes that have been recently found in the literature are revisited. Since these solutions possess a relaxed asymptotically AdS behavior, following the…

High Energy Physics - Theory · Physics 2013-09-06 Alfredo Perez , David Tempo , Ricardo Troncoso

We explore the space of static solutions of the recently discovered three-dimensional `New Massive Gravity' (NMG), allowing for either sign of the Einstein-Hilbert term and a cosmological term parametrized by a dimensionless constant…

High Energy Physics - Theory · Physics 2009-07-09 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

We show that a recently proposed action for three-dimensional non-relativistic gravity can be obtained by taking the limit of a relativistic Lagrangian that involves the co-adjoint Poincare algebra. We point out the similarity of our…

High Energy Physics - Theory · Physics 2021-03-17 Eric Bergshoeff , Joaquim Gomis , Patricio Salgado-Rebolledo

We extend standard results for vacuum asymptotically locally AdS (AlAdS) spacetimes, showing that such spacetimes can be constructed as foliations where the induced metric on each hypersurface satisfies Einstein's equation with…

High Energy Physics - Theory · Physics 2015-06-22 Sebastian Fischetti , David Kastor , Jennie Traschen

We prove some theorems characterizing the global properties of static, spherically symmetric configurations of a self-gravitating real scalar field in general relativity (GR) in various dimensions, with an arbitrary potential $V$, not…

General Relativity and Quantum Cosmology · Physics 2010-11-19 K. A. Bronnikov , G. N. Shikin

We study 4 dimensional $(4d$) gravitational waves (GWs) with compact wavefronts, generalizing Robinson-Trautman (RT) solutions in Einstein gravity with an arbitrary cosmological constant. We construct the most general solution of the GWs in…

High Energy Physics - Theory · Physics 2024-03-15 H. Adami , A. Parvizi , M. M. Sheikh-Jabbari , V. Taghiloo

We construct higher-derivative gravity theories in three dimensions that admit holographic $c$-theorems and exhibit a unique maximally symmetric vacuum, at arbitrary order $n$ in the curvature. We show that these theories exhibit special…

High Energy Physics - Theory · Physics 2024-07-02 Mariano Chernicoff , Gaston Giribet , Javier Moreno , Julio Oliva , Raul Rojas , Cielo Ramirez de Arellano Torres