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The surface charges associated with the symmetries of asymptotically flat four dimensional spacetimes at null infinity are constructed. They realize the symmetry algebra in general only up to a field-dependent central extension that…

High Energy Physics - Theory · Physics 2015-05-28 Glenn Barnich , Cedric Troessaert

The Bondi-Metzner-Sachs-van der Burg (BMS) group is the asymptotic symmetry group of radiating asymptotically flat spacetimes. It has recently received renewed interest in the context of the flat holography and the infrared structure of…

High Energy Physics - Theory · Physics 2020-09-07 Romain Ruzziconi

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

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

We used the Cartan formalism to construct fermionic models that are compatible with Galilean or Carrollian symmetry and rigid scaling symmetry. The free Carrollian fermion model exhibits conformal Carrollian symmetry which is isomorphic to…

High Energy Physics - Theory · Physics 2024-10-10 Peng-Xiang Hao , Wei Song , Zehua Xiao , Xianjin Xie

In this paper, we investigate the highest weight representation (HWR) of the three and four-dimensional Bondi-Metzner-Sachs (BMS) algebra realized on the codimension-two boundary of asymptotic flat spacetime (AFS). In such a realization,…

High Energy Physics - Theory · Physics 2026-01-08 Bin Chen , Song He , Pujian Mao , Xin-Cheng Mao

We investigate quantum field theories in two dimensions (2d) with an underlying Bondi-van der Burgh-Metzner-Sachs (BMS) symmetry augmented by $\mathfrak{u}(1)$ currents. These field theories are expected to holographically capture features…

High Energy Physics - Theory · Physics 2023-06-14 Arjun Bagchi , Ritankar Chatterjee , Rishabh Kaushik , Sanchari Pal , Max Riegler , Debmalya Sarkar

The asymptotic symmetry of an isolated gravitating system, or the Bondi-Metzner-Sachs (BMS) group, contains an infinite-dimensional subgroup of supertranslations. Despite decades of study, the difficulties with the "supertranslation…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Po-Ning Chen , Mu-Tao Wang , Ye-Kai Wang , Shing-Tung Yau

Two-dimensional (2d) field theories invariant under the Bondi-Metzner-Sachs algebra, or 2d BMSFTs in short, are putative holographic duals of Einstein gravity in 3d asymptotically flat spacetimes. When defined on a torus, these field…

High Energy Physics - Theory · Physics 2023-07-04 Arjun Bagchi , Saikat Mondal , Sanchari Pal , Max Riegler

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

The two-dimensional super-BMS$_{3}$ invariant theory dual to three-dimensional asymptotically flat $\mathcal{N}=1$ supergravity is constructed. It is described by a constrained or gauged chiral Wess-Zumino-Witten action based on the…

High Energy Physics - Theory · Physics 2015-10-30 Glenn Barnich , Laura Donnay , Javier Matulich , Ricardo Troncoso

The conformal extension of the BMS$_{3}$ algebra is constructed. Apart from an infinite number of 'superdilatations,' in order to incorporate 'superspecial conformal transformations,' the commutator of the latter with supertranslations…

High Energy Physics - Theory · Physics 2021-03-10 Oscar Fuentealba , Hernan A. Gonzalez , Alfredo Perez , David Tempo , Ricardo Troncoso

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

The conformal symmetry algebra in 2D (Diff($S^{1}$)$\oplus$Diff($S^{1}$)) is shown to be related to its ultra/non-relativistic version (BMS$_{3}$$\approx$GCA$_{2}$) through a nonlinear map of the generators, without any sort of limiting…

High Energy Physics - Theory · Physics 2021-12-08 Pablo Rodríguez , David Tempo , Ricardo Troncoso

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

Conformal Carroll symmetry generically arises on null manifolds and is important for holography of asymptotically flat spacetimes, generic black hole horizons and tensionless strings. In this paper, we focus on two dimensional (2d) null…

High Energy Physics - Theory · Physics 2023-02-01 Arjun Bagchi , Aritra Banerjee , Sudipta Dutta , Kedar S. Kolekar , Punit Sharma

With a view to understanding extended-BMS symmetries in the framework of the $AdS_4/CFT_3$ correspondence, asymptotically AdS geometries are constructed with null impulsive shockwaves involving a discontinuity in superrotation parameters.…

High Energy Physics - Theory · Physics 2021-02-03 David A. Lowe , David M. Ramirez

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

Bondi-Metzner-Sachs (BMS) symmetries, or equivalently Conformal Carroll symmetries, are intrinsically associated to null manifolds and in two dimensions can be obtained as an In{\"o}n{\"u}-Wigner contraction of the two-dimensional ($2d$)…

High Energy Physics - Theory · Physics 2022-10-19 Arjun Bagchi , Aritra Banerjee , Hisayoshi Muraki

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
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