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We review recent results on symmetries of asymptotically flat spacetimes at null infinity. In higher dimensions, the symmetry algebra realizes the Poincar\'e algebra. In three and four dimensions, besides the infinitesimal supertranslations…

General Relativity and Quantum Cosmology · Physics 2012-08-23 Glenn Barnich , Cédric Troessaert

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

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

BMS symmetry is a symmetry of asymptotically flat spacetimes in the vicinity of the null boundary of spacetime and it is expected to play a fundamental role in physics. It is interesting therefore to investigate the structures and…

High Energy Physics - Theory · Physics 2021-02-19 A. Borowiec , L. Brocki , J. Kowalski-Glikman , J. Unger

The purpose of this dissertation is to examine the BMS symmetry group, which arises as the asymptotic symmetry group of four-dimensional asymptotically flat spacetimes at null infinity, and to uncover its relation to the Carroll group.…

General Relativity and Quantum Cosmology · Physics 2018-05-28 Yvonne Calò

We develop the analysis of the asymptotic properties of gravity in higher spacetime dimensions $D$, with a particular emphasis on the case $D=5$. Our approach deals with spatial infinity and is Hamiltonian throughout. It is shown that the…

High Energy Physics - Theory · Physics 2022-08-10 Oscar Fuentealba , Marc Henneaux , Javier Matulich , Cédric Troessaert

We find a surprising connection between asymptotically flat space-times and non-relativistic conformal systems in one lower dimension. The BMS group is the group of asymptotic isometries of flat Minkowski space at null infinity. This is…

High Energy Physics - Theory · Physics 2010-10-27 Arjun Bagchi

Null infinity in asymptotically flat spacetimes posses a rich mathematical structure; including the BMS group and the Bondi news tensor that allow one to study gravitational radiation rigorously. However, FLRW spacetimes are not…

General Relativity and Quantum Cosmology · Physics 2020-11-17 Béatrice Bonga , Kartik Prabhu

We consider a recently proposed extension of the Bondi-Metzner-Sachs algebra to include arbitrary infinitesimal diffeomorphisms on a (2)-sphere. To realize this extended algebra as asymptotic symmetries, we work with an extended class of…

General Relativity and Quantum Cosmology · Physics 2020-01-06 Éanna É. Flanagan , Kartik Prabhu , Ibrahim Shehzad

The asymptotic group of symmetries at null infinity of flat spacetimes in three and four dimensions is the infinite dimensional Bondi-Metzner-Sachs (BMS) group. This has recently been shown to be isomorphic to non-relativistic conformal…

High Energy Physics - Theory · Physics 2014-08-05 Arjun Bagchi , Reza Fareghbal

The asymptotic symmetry algebra of four-dimensional Einstein gravity in the asymptotically flat context has been shown recently to be the direct sum of the Poincar\'e algebra and of an infinite-dimensional abelian algebra (with central…

High Energy Physics - Theory · Physics 2024-02-21 Oscar Fuentealba , Marc Henneaux , Cédric Troessaert

The symmetry algebra of asymptotically flat spacetimes at null infinity in four dimensions in the sense of Newman and Unti is revisited. As in the Bondi-Metzner-Sachs gauge, it is shown to be isomorphic to the direct sum of the abelian…

General Relativity and Quantum Cosmology · Physics 2013-01-24 Glenn Barnich , Pierre-Henry Lambert

In this work we obtain known and new supersymmetric extensions of diverse asymptotic symmetries defined in three spacetime dimensions by considering the semigroup expansion method. The super-$BMS_3$, the superconformal algebra and new…

High Energy Physics - Theory · Physics 2020-01-14 Ricardo Caroca , Patrick Concha , Octavio Fierro , Evelyn Rodríguez

We associate vertex operators to space-time diffeomorphisms in flat space string theory, and compute their algebra, which is a diffeomorphism algebra with higher derivative corrections. As an application, we realize the asymptotic symmetry…

High Energy Physics - Theory · Physics 2015-06-16 Waldemar Schulgin , Jan Troost

In this paper we study the magnetic charges of the free massless Rarita-Schwinger field in four dimensional asymptotically flat space-time. This is the first step towards extending the study of the dual BMS charges to supergravity. The…

High Energy Physics - Theory · Physics 2022-01-31 Bilyana L. Tomova

After a review of symmetries and classical solutions involved in the AdS3/CFT2 correspondence, we apply a similar analysis to asymptotically flat spacetimes at null infinity in 3 and 4 dimensions. In the spirit of two dimensional conformal…

High Energy Physics - Theory · Physics 2010-12-09 Glenn Barnich , Cedric Troessaert

Asymptotically flat spacetimes have been studied in five separate regions: future/past timelike infinity $i^\pm$, future/past null infinity $\mathcal{I}^\pm$, and spatial infinity $i^0$. We formulate assumptions and definitions such that…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Geoffrey Compère , Samuel E. Gralla , Hongji Wei

We describe asymptotic symmetries at spatial infinity of asymptotically flat spacetimes within the context of a generalization of the Beig-Schmidt-Ashtekar-Romano-framework. We demonstrate that it is possible to relax certain smoothness…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Sharad Mishra , Kinjal Banerjee , Jishnu Bhattacharyya

For asymptotically flat spacetimes, a conjecture by Strominger states that asymptotic BMS-supertranslations and their associated charges at past null infinity $\mathscr{I}^{-}$ can be related to those at future null infinity…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy , Kartik Prabhu , Juan A. Valiente Kroon

We describe a novel twistorial construction of the asymptotic BMS symmetries at null infinity for asymptotically flat spacetimes. We define BMS twistors as spinor solutions to some set of components of the usual spacetime twistor equation…

General Relativity and Quantum Cosmology · Physics 2022-01-07 Kartik Prabhu