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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

Carroll symmetry is a very powerful characteristic of generic null surfaces, as it replaces the usual Poincar\'e algebra with a vanishing speed of light version thereof. These symmetries have found universal applications in the physics of…

High Energy Physics - Theory · Physics 2023-07-05 Aritra Banerjee , Sudipta Dutta , Saikat Mondal

The original Bondi$-$Metzner-Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian 4-dim space$-$times. As such, B is the best candidate for the universal symmetry group of General Relativity…

Mathematical Physics · Physics 2022-01-10 Evangelos Melas

Scalar QFT on the boundary $\Im^+$ at null infinity of a general asymptotically flat 4D spacetime is constructed using the algebraic approach based on Weyl algebra associated to a BMS-invariant symplectic form. The constructed theory is…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Dappiaggi , V. Moretti , N. Pinamonti

Two dimensional field theories with Bondi-Metzner-Sachs symmetry have been proposed as duals to asymptotically flat spacetimes in three dimensions. These field theories are naturally defined on null surfaces and hence are conformal cousins…

High Energy Physics - Theory · Physics 2021-07-28 Arjun Bagchi , Sudipta Dutta , Kedar S. Kolekar , Punit Sharma

Using the dictionary between Bondi and Fefferman-Graham gauges, we identify the analogues of the Bondi news, Bondi mass and Bondi angular momentum aspects at the boundary of generic asymptotically locally (A)dS$_4$ spacetimes. We introduce…

General Relativity and Quantum Cosmology · Physics 2023-02-13 Geoffrey Compère , Adrien Fiorucci , Romain Ruzziconi

Two dimensional field theories invariant under the Bondi-Metzner-Sachs (BMS) group are conjectured to be dual to asymptotically flat spacetimes in three dimensions. In this paper, we continue our investigations of the modular properties of…

High Energy Physics - Theory · Physics 2020-11-19 Arjun Bagchi , Poulami Nandi , Amartya Saha , Zodinmawia

This report reviews key developments in Carrollian physics with an emphasis on their role in the emerging framework of holography in asymptotically flat spacetimes. We begin by introducing the Carrollian limit, understood as the…

High Energy Physics - Theory · Physics 2026-02-04 Romain Ruzziconi

Motivated by connections with observable phenomena, in particular with soft factorization theorems for scattering amplitudes and with memory effects, renewed interest has been recently shown in the subject of asymptotic symmetries at null…

High Energy Physics - Theory · Physics 2019-11-28 Carlo Heissenberg

In this article we address the question of asymptotic symmetry of massless scalar field at null infinity. We slightly generalize notion of asymptotic symmetry in order to make sense for the theory without gauge symmetry. Derivations of the…

High Energy Physics - Theory · Physics 2023-10-26 Dejan Simić

The asymptotic symmetry group (ASG) at future null infinity (I^+) of four-dimensional de Sitter spacetimes is defined and shown to be given by the group of three-dimensional diffeomorphisms acting on I^+. Finite charges are constructed for…

General Relativity and Quantum Cosmology · Physics 2011-08-22 Dionysios Anninos , Gim Seng Ng , Andrew Strominger

Symmetries are ubiquitous in modern physics. They not only allow for a more simplified description of physical systems but also, from a more fundamental perspective, can be seen as determining a theory itself. In the present paper, we…

General Relativity and Quantum Cosmology · Physics 2025-09-24 Níckolas de Aguiar Alves , Andre G. S. Landulfo

Symmetries compatible with asymptotic flatness and admitting gravitational and electromagnetic radiation are studied by using the Bondi-Sachs-van der Burg formalism. It is shown that in axially symmetric electrovacuum spacetimes in which at…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , A. Pravdova

This thesis is devoted to the study of the deformation and rigidity of infinite dimensional Lie algebras which are not subject to the Hochschild-Serre factorization theorem. In particular, we consider $bms_{3}$, Virasoro-Kac-Moody and…

High Energy Physics - Theory · Physics 2020-11-05 H. R. Safari

The Bondi-Metzner-Sachs (BMS) group is shown to be the conformal extension of Levy-Leblond's "Carroll" group. Further extension to the Newman-Unti (NU) group is also discussed in the Carroll framework.

General Relativity and Quantum Cosmology · Physics 2015-06-18 C. Duval , G. W. Gibbons , P. A. Horvathy

The symmetries of asymptotically flat spacetimes in general relativity are given by the Bondi-Metzner-Sachs (BMS) group, though there are proposed generalizations of its symmetry algebra. Associated with each symmetry is a charge and a…

General Relativity and Quantum Cosmology · Physics 2021-09-28 Arwa Elhashash , David A. Nichols

The ordinary Bondi-Metzner-Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian space-times. As such, B is the best candidate for the universal symmetry group of General Relativity. However, in…

Representation Theory · Mathematics 2013-12-05 Evangelos Melas

Recently symmetries of gravity and gauge fields in the asymptotic regions of spacetime have been shown to play vital role in their low energy scattering phenomena. Further, for the black hole spacetime, near horizon symmetry has been…

General Relativity and Quantum Cosmology · Physics 2021-06-25 Mousumi Maitra , Debaprasad Maity , Bibhas Ranjan Majhi

Symmetries play an interesting role in cosmology. They are useful in characterizing the cosmological perturbations generated during inflation and lead to consistency relations involving the soft limit of the statistical correlators of…

High Energy Physics - Theory · Physics 2016-10-06 Alex Kehagias , Antonio Riotto

This paper presents the first examples of massless relativistic quantum field theories which are interacting and asymptotically complete. These two-dimensional theories are obtained by an application of a deformation procedure, introduced…

Mathematical Physics · Physics 2011-06-16 Wojciech Dybalski , Yoh Tanimoto