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The Bondi--van der Burg--Metzner--Sachs (BMS) frame of gravitational waves produced by numerical relativity (NR) simulations is crucial for building accurate waveform models. A proper comparison of NR waveforms with other models requires…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Aniket Khairnar , Leo C. Stein , Michael Boyle , Nils Deppe , Lawrence E. Kidder , Keefe Mitman , Jordan Moxon , Kyle C. Nelli , William Throwe , Nils L. Vu

The asymptotic symmetry group of general relativity in asymptotically flat spacetimes can be extended from the Bondi-Metzner-Sachs (BMS) group to the generalized BMS (GMBS) group suggested by Campiglia and Laddha, which includes arbitrary…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Eanna E. Flanagan , David A. Nichols

We study the asymptotic symmetries of Einstein gravity in flat space. Instead of Bondi gauge, we work with the recently introduced special double null gauge, in which $\mathscr{I}^{+}$ and $\mathscr{I}^{-}$ are approached along null…

High Energy Physics - Theory · Physics 2022-08-01 Chethan Krishnan , Jude Pereira

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

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

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 study, we investigate various deformations within the framework of Bondi-van der Burg-Metzner-Sachs invariant field theory (BMSFT). Specifically, we explore the impact of Bondi-van der Burg-Metzner-Sachs (BMS) symmetry on the theory…

High Energy Physics - Theory · Physics 2024-04-30 Song He , Xin-Cheng Mao

These notes are an introduction to asymptotic symmetries in gauge theories, with a focus on general relativity in four dimensions. We explain how to impose consistent sets of boundary conditions in the gauge fixing approach and how to…

High Energy Physics - Theory · Physics 2020-05-05 Romain Ruzziconi

The dispersion relation for planar N=4 supersymmetric Yang-Mills is identified with the Casimir of a quantum deformed two-dimensional kinematical symmetry, E_q(1,1). The quantum deformed symmetry algebra is generated by the momentum, energy…

High Energy Physics - Theory · Physics 2010-10-27 Cesar Gomez , Rafael Hernandez

Corresponding to the Bondi-Metzner-Sachs (BMS) symmetry algebra of asymptotically-flat spacetimes are a set of BMS charges. These are formally constructed via the symplectic formalism of Wald and Zoupas, but the same charge expression may…

General Relativity and Quantum Cosmology · Physics 2023-07-28 Alex Goodenbour

This paper investigates first the four branches of BMS transformations, motivated by the classification into elliptic, parabolic, hyperbolic and loxodromic proposed a few years ago in the literature. We first prove that to each normal…

General Relativity and Quantum Cosmology · Physics 2023-04-24 Zahra Mirzaiyan , Giampiero Esposito

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

We study $N=(2,4,8)$ supersymmetric extensions of the three dimensional BMS algebra (BMS$_3$) with most generic possible central extensions. We find that $N$-extended supersymmetric BMS$_3$ algebras can be derived by a suitable contraction…

High Energy Physics - Theory · Physics 2016-11-16 Nabamita Banerjee , Dileep P. Jatkar , Ivano Lodato , Sunil Mukhi , Turmoli Neogi

Starting from an action principle adapted to the Newman-Penrose formalism, we provide a self-contained derivation of BMS current algebra, which includes the generalization of the Bondi mass loss formula to all BMS generators. In the spirit…

General Relativity and Quantum Cosmology · Physics 2020-04-21 Glenn Barnich , Pujian Mao , Romain Ruzziconi

In this paper, we find a class of Carrollian and Galilean contractions of (extended) BMS algebra in 3+1 and 2+1 dimensions. To this end, we investigate possible embeddings of 3D/4D Poincar\'{e} into the BMS${}_3$ and BMS${}_4$ algebras,…

High Energy Physics - Theory · Physics 2025-01-20 Andrzej Borowiec , Jerzy Kowalski-Glikman , Tomasz Trześniewski

In this work, we study the quantization of Carrollian conformal scalar theories, including two-dimensional(2D) magnetic scalar and three-dimensional(3D) electric and magnetic scalars. We discuss two different quantization schemes, depending…

High Energy Physics - Theory · Physics 2024-12-18 Bin Chen , Haowei Sun , Yu-fan Zheng

Asymptotic symmetries of electric and magnetic Carrollian gravitational theories with a negative cosmological constant $\Lambda$ are analyzed in 3+1 space-time dimensions. In the magnetic theory, the asymptotic symmetry algebra is given by…

High Energy Physics - Theory · Physics 2022-09-28 Alfredo Pérez

We classify the Lagrangians and anomalies of an extended BMS field theory using BRST methods. To do so, we establish an intrinsic gauge-fixing procedure for the geometric data, which allows us to derive the extended BMS symmetries and the…

High Energy Physics - Theory · Physics 2025-04-15 Laurent Baulieu , Luca Ciambelli , Tom Wetzstein

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

We generalise BMS algebras in three dimensions by the introduction of an arbitrary real parameter $\lambda$, recovering the standard algebras (BMS, extended BMS and Weyl-BMS) for $\lambda=-1$. We exhibit a realisation of the (centreless)…

High Energy Physics - Theory · Physics 2024-12-17 Carlos Batlle , José Figueroa-O'Farrill , Joaquim Gomis , Girish Vishwa