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Related papers: Symmetry group at future null infinity III: Gravit…

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New boundary conditions for asymptotically flat spacetimes are given at spatial infinity. These boundary conditions are invariant under the BMS group, which acts non trivially. The boundary conditions fulfill all standard consistency…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Marc Henneaux , Cédric Troessaert

The Lie algebra generated by supertranslation and superrotation vector fields at null infinity, known as the extended BMS (eBMS) algebra is expected to be a symmetry algebra of the quantum gravity S matrix. However, the algebra of…

High Energy Physics - Theory · Physics 2021-06-29 Miguel Campiglia , Alok Laddha

We analyse the asymptotic symmetries of Maxwell theory at spatial infinity through the Hamiltonian formalism. Precise, consistent boundary conditions are explicitly given and shown to be invariant under asymptotic angle-dependent…

High Energy Physics - Theory · Physics 2018-05-30 Marc Henneaux , Cédric Troessaert

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

A consistent set of asymptotic conditions for the simplest supergravity theory without cosmological constant in three dimensions is proposed. The canonical generators associated to the asymptotic symmetries are shown to span a…

High Energy Physics - Theory · Physics 2015-06-22 Glenn Barnich , Laura Donnay , Javier Matulich , Ricardo Troncoso

The BMS (Bondi-van der Burg-Metzner-Sachs) symmetry arises as the asymptotic symmetry of flat spacetime at null infinity. In particular, the BMS algebra for three dimensional flat spacetime (BMS$_3$) is generated by the super-rotation…

High Energy Physics - Theory · Physics 2022-07-13 Peng-xiang Hao , Wei Song , Xianjin Xie , Yuan Zhong

In General Relativity, the allowed set of diffeomorphisms or gauge transformations at asymptotic infinity forms the BMS group, an infinite-dimensional extension of the Poincar\'e group. We focus on the structure of the BMS group in two…

High Energy Physics - Theory · Physics 2023-08-31 Sudarshan Ananth , Sucheta Majumdar

On any asymptotically-flat spacetime, we show that the asymptotic symmetries and charges of Maxwell fields on past null infinity can be related to those on future null infinity as recently proposed by Strominger. We extend the covariant…

General Relativity and Quantum Cosmology · Physics 2018-10-22 Kartik Prabhu

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

The transit of a gravitating radiation pulse past arrays of detectors stationed near future null infinity in the vacuum is considered. It is shown that the relative positions and clock times of the detectors before and after the radiation…

High Energy Physics - Theory · Physics 2014-11-24 Andrew Strominger , Alexander Zhiboedov

We consider three dimensional $N=4$ flat supergravity, with an abelian R-symmetry enhancing the gravitational phase space. We obtain the field configuration whose asymptotic symmetries at null infinity coincide with the centrally extended…

High Energy Physics - Theory · Physics 2018-01-09 Nabamita Banerjee , Ivano Lodato , Turmoli Neogi

We explore the holographic principle in the context of asymptotically flat space-times by means of the asymptotic symmetry group of this class of space-times, the so called Bondi-Metzner-Sachs (BMS) group. In particular we construct a…

High Energy Physics - Theory · Physics 2008-11-26 Claudio Dappiaggi

We show that we can combine the (complex, self-dual) BMS vector fields with the recently defined BMS twistors to obtain a new supersymmetric extension of the BMS symmetries at null infinity. We compare our construction to other…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Kartik Prabhu

Recently it was conjectured that a certain infinite-dimensional "diagonal" subgroup of BMS supertranslations acting on past and future null infinity (${\mathscr I}^-$ and ${\mathscr I}^+$) is an exact symmetry of the quantum gravity ${\cal…

High Energy Physics - Theory · Physics 2015-12-07 Temple He , Vyacheslav Lysov , Prahar Mitra , Andrew Strominger

There has been a recent resurgence of interest in the structure of the gravitational field at null infinity, sparked by new results on soft charges and infrared issues related to the S matrix theory in perturbative quantum gravity. We…

General Relativity and Quantum Cosmology · Physics 2018-11-16 Abhay Ashtekar , Miguel Campiglia , Alok Laddha

Starting from the Chern-Simons formulation, the two-dimensional dual theory for three-dimensional asymptotically flat Einstein gravity at null infinity is constructed. Solving the constraints together with suitable gauge fixing conditions…

High Energy Physics - Theory · Physics 2015-06-15 Glenn Barnich , Hernan Gonzalez

Support material for lectures at the May '25 Galileo Galilei Institute school on asymptotic sym- metries and flat holography. Contains an introduction to Noether theorem for gauge theories and gravity, covariant phase space formalism,…

High Energy Physics - Theory · Physics 2026-02-18 Simone Speziale

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

An extension of the Poincar\'e group with half-integer spin generators is explicitly constructed. We start discussing the case of three spacetime dimensions, and as an application, it is shown that hypergravity can be formulated so as to…

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

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