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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…

广义相对论与量子宇宙学 · 物理学 2013-01-24 Glenn Barnich , Pierre-Henry Lambert

We show that the symmetry algebra of asymptotically flat four dimensional spacetimes at null infinity in the sense of Newman and Unti is isomorphic to the direct sum of the abelian algebra of infinitesimal conformal rescalings with bms4. We…

广义相对论与量子宇宙学 · 物理学 2013-01-30 Glenn Barnich , Pierre-Henry Lambert

The asymptotically flat structure of $\mathcal{N}=(2,0)$ supergravity in three spacetime dimensions is explored. The asymptotic symmetries are spanned by an extension of the super-BMS$_3$ algebra, with two independent $\hat{u}(1)$ currents…

高能物理 - 理论 · 物理学 2017-10-11 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

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…

广义相对论与量子宇宙学 · 物理学 2025-12-01 Mariem Magdy , Kartik Prabhu , Juan A. Valiente Kroon

We perform a detailed study of the covariance properties of the symplectic potential of general relativity on a null hypersurface, and of the different polarizations that can be used to study conservative as well as leaky boundary…

广义相对论与量子宇宙学 · 物理学 2023-11-28 Gloria Odak , Antoine Rignon-Bret , Simone Speziale

I revisit the calculation of infinite-dimensional symmetries that emerge in the vicinity of isolated horizons. I focus the attention on extremal black holes, for which the isometry algebra that preserves a sensible set of asymptotic…

高能物理 - 理论 · 物理学 2020-11-30 Gaston Giribet

We study Einstein gravity in a finite spatial region. By requiring a well-defined variational principle, we identify all local boundary conditions, derive surface observables, and compute their algebra. The observables arise as induced…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Viqar Husain , Seth Major

We analyze the asymptotic symmetries and their associated charges at spatial infinity in $4$-dimensional asymptotically-flat spacetimes. We use the covariant formalism of Ashtekar and Hansen where the asymptotic fields and symmetries live…

广义相对论与量子宇宙学 · 物理学 2020-08-05 Kartik Prabhu , Ibrahim Shehzad

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…

广义相对论与量子宇宙学 · 物理学 2009-11-11 C. Dappiaggi , V. Moretti , N. Pinamonti

We explore the holographic principle in the context of asymptotically flat spacetimes. In analogy with the AdS/CFT scenario we analyse the asympotically symmetry group of this class of spacetimes, the so called Bondi-Metzner-Sachs (BMS)…

高能物理 - 理论 · 物理学 2010-04-05 Giovanni Arcioni , Claudio Dappiaggi

We carry out in full generality and without fixing specific boundary conditions, the symmetry and charge analysis near a generic null surface for two and three dimensional (2d and 3d) gravity theories. In 2d and 3d there are respectively…

高能物理 - 理论 · 物理学 2020-12-02 H. Adami , M. M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo , C. Zwikel

We introduce a Hamiltonian framework tailored to degrees of freedom (DOF) of field theories that reside in suitable 3-dimensional open regions, and then apply it to the gravitational DOF of general relativity. Specifically, these DOF now…

高能物理 - 理论 · 物理学 2024-09-19 Abhay Ashtekar , Simone Speziale

Infinite sets of asymptotic soft-charges were recently shown to be related to new symmetries of the $S$-matrix, spurring a large amount of research on this and related questions. Notwithstanding, the raison-d'\^etre of these soft-charges…

高能物理 - 理论 · 物理学 2020-06-24 Aldo Riello

We construct a hierarchy of integrable systems whose Poisson structure corresponds to the BMS$_{3}$ algebra, and then discuss its description in terms of the Riemannian geometry of locally flat spacetimes in three dimensions. The analysis…

高能物理 - 理论 · 物理学 2018-03-14 Oscar Fuentealba , Javier Matulich , Alfredo Pérez , Miguel Pino , Pablo Rodríguez , David Tempo , Ricardo Troncoso

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…

高能物理 - 理论 · 物理学 2020-09-07 Romain Ruzziconi

We analyze the residual gauge freedom in gravity, in four dimensions, in the light-cone gauge, in a formulation where unphysical fields are integrated out. By checking the invariance of the light-cone Hamiltonian, we obtain a set of…

高能物理 - 理论 · 物理学 2021-11-24 Sudarshan Ananth , Lars Brink , Sucheta Majumdar

This paper studies the asymptotic gauge charges of the Curtright mixed-symmetry rank-3 field $\phi_{[\rho\sigma]\nu}$ in Minkowski spacetime, interpreted in $ D = 5 $ as the dual graviton. In Bondi coordinates at future null infinity, we…

高能物理 - 理论 · 物理学 2026-04-28 Federico Manzoni

We propose mixed boundary conditions for 3d conformal gravity consistent with variational principle in its second-order formalism that admit the chiral $\Lambda$-$\mathfrak{bms}_4$ algebra as their asymptotic symmetry algebra. This algebra…

高能物理 - 理论 · 物理学 2025-04-08 Nishant Gupta , Nemani V. Suryanarayana

In this thesis, we study the Hamiltonian and covariant phase space description of gravitational theories. The phase space represents the allowed field configurations and is accompanied by a closed nondegenerate 2 form- the symplectic form.…

高能物理 - 理论 · 物理学 2016-03-09 Ali Seraj

In the context of asymptotically flat spacetimes we exploit techniques proper either of white noise analysis either of dynamical systems in order to develop the Lagrangian and the Hamiltonian approach to a BMS invariant field theory at null…

数学物理 · 物理学 2007-05-23 Claudio Dappiaggi