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Related papers: Asymptotic conformal symmetry at spatial infinity

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The asymptotic structure of null and spatial infinities of asymptotically flat spacetimes plays an essential role in discussing gravitational radiation, gravitational memory effect, and conserved quantities in General Relativity. Bondi,…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy

We study asymptotically flat spacetimes in five spacetime dimensions by Hamiltonian methods, focusing on spatial infinity and keeping all asymptotically relevant nonlinearities in the transformation laws and in the charge-generators.…

High Energy Physics - Theory · Physics 2022-02-16 Oscar Fuentealba , Marc Henneaux , Javier Matulich , Cédric Troessaert

We construct the phase space of 3-dimensional asymptotically flat spacetimes that forms the bulk metric representation of the BMS group consisting of both supertranslations and superrotations. The asymptotic symmetry group is a unique copy…

High Energy Physics - Theory · Physics 2017-10-25 Geoffrey Compère , Adrien Fiorucci

We show that the asymptotic charges associated with Lorentz symmetries on past and future null infinity match in the limit to spatial infinity in a class of asymptotically-flat spacetimes. These are spacetimes that obey the Ashtekar-Hansen…

General Relativity and Quantum Cosmology · Physics 2022-08-08 Kartik Prabhu , Ibrahim Shehzad

We study asymptotic symmetry algebras for classes of three dimensional supergravities with and without cosmological constant. In the first part we generalise some of the non-Dirichlet boundary conditions of $AdS_3$ gravity to extended…

High Energy Physics - Theory · Physics 2018-09-05 Rohan R. Poojary , Nemani V. Suryanarayana

Asymptotically anti-de Sitter space-times are considered in a general dimension $d\ge 4$. As one might expect, the boundary conditions at infinity ensure that the asymptotic symmetry group is the anti-de Sitter group (although there is an…

High Energy Physics - Theory · Physics 2010-04-06 Abhay Ashtekar , Saurya Das

The construction of a theory of quantum gravity is an outstanding problem that can benefit from better understanding the laws of nature that are expected to hold in regimes currently inaccessible to experiment. Such fundamental laws can be…

High Energy Physics - Theory · Physics 2020-03-17 Friedrich Schöller

We review the role that infinite-dimensional symmetries arising at the boundary of asymptotically flat spacetimes play in the context of the celestial holography program. Once recast into the language of conformal field theory, asymptotic…

High Energy Physics - Theory · Physics 2023-10-20 Laura Donnay

We propose a Symmetry Topological Field Theory (SymTFT) for continuous spacetime symmetries. For a $d$-dimensional theory, it is given by a $(d+1)$-dimensional BF-theory for the spacetime symmetry group, and whenever $d$ is even, it can…

High Energy Physics - Theory · Physics 2025-09-15 Fabio Apruzzi , Nicola Dondi , Iñaki García Etxebarria , Ho Tat Lam , Sakura Schafer-Nameki

In this short note, we verify explicitly in static coordinates that the non trivial asymptotic Killing vectors at spatial infinity for anti-de Sitter space-times correspond one to one to the conformal Killing vectors of the conformally flat…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Glenn Barnich , Friedemann Brandt , Kim Claes

Recently, the asymptotic behaviour of three-dimensional anti-de Sitter gravity with a topological mass term was investigated. Boundary conditions were given that were asymptotically invariant under the two-dimensional conformal group and…

High Energy Physics - Theory · Physics 2014-11-21 Marc Henneaux , Cristian Martinez , Ricardo Troncoso

We propose a consistent set of boundary conditions for gravity in asymptotically flat spacetime at spacelike infinity, which yields an enhancement of the Bondi-Metzner Sachs group with smooth superrotations and new subleading symmetries.…

High Energy Physics - Theory · Physics 2024-11-19 Adrien Fiorucci , Javier Matulich , Romain Ruzziconi

We study canonical conformal gravity in four dimensions and construct the gauge generators and the associated charges. Using slightly generalized boundary conditions compared to those in \cite{Grumiller:2013mxa} we find that the charges…

High Energy Physics - Theory · Physics 2015-06-03 Maria Irakleidou , Iva Lovrekovic , Florian Preis

An enhanced version of the conformal BMS$_{3}$ algebra is presented. It is shown to emerge from the asymptotic structure of an extension of conformal gravity in 3D by Pope and Townsend that consistently accommodates an additional spin-2…

High Energy Physics - Theory · Physics 2025-04-18 Oscar Fuentealba , Iva Lovrekovic , David Tempo , Ricardo Troncoso

We present a comprehensive discussion of gravitational charges and radiation in four-dimensional asymptotically locally de Sitter (AldS) spacetimes. Such spacetimes have compact spatial sections and possess spacelike past and future…

High Energy Physics - Theory · Physics 2025-12-17 Aaron Poole , Kostas Skenderis , Marika Taylor

We investigate systematically the asymptotic dynamics and symmetries of all three-dimensional extended AdS supergravity models. First, starting from the Chern-Simons formulation, we show explicitly that the (super)anti-de Sitter boundary…

High Energy Physics - Theory · Physics 2009-10-31 Marc Henneaux , Liat Maoz , Adam Schwimmer

It is argued that the symmetry algebra of asymptotically flat spacetimes at null infinity in 4 dimensions should be taken as the semi-direct sum of supertranslations with infinitesimal local conformal transformations and not, as usually…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Glenn Barnich , Cedric Troessaert

Relying on the definition of asymptotic conformal Killing horizons, the generators of asymptotic conformal symmetries at future null infinity in Schwarzschild space-time are considered. The algebra they close is an extended version of the…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Marco Refuto

We show that the symmetry algebra of asymptotically flat four dimensional spacetimes at null infinity in the sense of Newman and Unti is isomorphic to the direct sum of the abelian algebra of infinitesimal conformal rescalings with bms4. We…

General Relativity and Quantum Cosmology · Physics 2013-01-30 Glenn Barnich , Pierre-Henry Lambert

The asymptotic structure of three-dimensional hypergravity without cosmological constant is analyzed. In the case of gravity minimally coupled to a spin-$5/2$ field, a consistent set of boundary conditions is proposed, being wide enough so…

High Energy Physics - Theory · Physics 2015-11-05 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso