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We propose a solution to a classic problem in gravitational physics consisting of defining the spin associated with asymptotically-flat spacetimes. We advocate that the correct asymptotic symmetry algebra to approach this problem is the…

High Energy Physics - Theory · Physics 2024-12-16 Laurent Freidel , Seyed Faroogh Moosavian , Daniele Pranzetti

The asymptotic symmetries of electromagnetism in all higher spacetime dimensions $d>4$ are extended, by incorporating consistently angle-dependent $u(1)$ gauge transformations with a linear growth in the radial coordinate at spatial…

High Energy Physics - Theory · Physics 2023-05-03 Oscar Fuentealba

In this paper we construct a non-perturbative action of the higher spin symmetry algebra on the gravitational phase space. We introduce a symmetry algebroid $\mathcal{T}$ which allows us to include radiation in an algebraic framework. We…

High Energy Physics - Theory · Physics 2026-03-31 Nicolas Cresto , Laurent Freidel

This thesis deals with the phase space realization of asymptotic higher spin symmetries, in 4d asymptotically flat spacetimes. In the gravitational case for instance, these symmetries generalize the BMS algebra to include an infinite tower…

High Energy Physics - Theory · Physics 2026-03-30 Nicolas Cresto

We investigate the asymptotic structure of the free Rarita-Schwinger theory in four spacetime dimensions at spatial infinity in the Hamiltonian formalism. We impose boundary conditions for the spin-3/2 field that are invariant under an…

High Energy Physics - Theory · Physics 2021-02-24 Oscar Fuentealba , Marc Henneaux , Sucheta Majumdar , Javier Matulich , Turmoli Neogi

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 extend the asymptotic symmetries of electromagnetism in order to consistently include angle-dependent $u(1)$ gauge transformations $\epsilon$ that involve terms growing at spatial infinity linearly and logarithmically in $r$, $\epsilon…

High Energy Physics - Theory · Physics 2023-03-29 Oscar Fuentealba , Marc Henneaux , Cédric Troessaert

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…

High Energy Physics - Theory · Physics 2020-06-24 Aldo Riello

The asymptotic structure of three-dimensional higher-spin anti-de Sitter gravity is analyzed in the metric approach, in which the fields are described by completely symmetric tensors and the dynamics is determined by the standard…

High Energy Physics - Theory · Physics 2015-03-03 Andrea Campoleoni , Marc Henneaux

Four-dimensional asymptotically flat spacetimes at spatial infinity are defined from first principles without imposing parity conditions or restrictions on the Weyl tensor. The Einstein-Hilbert action is shown to be a correct variational…

High Energy Physics - Theory · Physics 2015-05-28 Geoffrey Compère , François Dehouck

We show that the intrinsic angular momentum of matter in curved spacetime requires the metric-affine formulation of gravity, in which the antisymmetric part of the affine connection (the torsion tensor) is not constrained to be zero but is…

General Relativity and Quantum Cosmology · Physics 2013-04-09 Nikodem Poplawski

The structure of the asymptotic symmetry in the Poincar\'e gauge theory of gravity in 2d is clarified by using the Hamiltonian formalism. The improved form of the generator of the asymptotic symmetry is found for very general asymptotic…

High Energy Physics - Theory · Physics 2009-10-30 M. Blagojevic , M. Vasilic , T. Vukasinac

The asymptotic symmetry algebra of four-dimensional Einstein gravity in the asymptotically flat context has been shown recently to be the direct sum of the Poincar\'e algebra and of an infinite-dimensional abelian algebra (with central…

High Energy Physics - Theory · Physics 2024-02-21 Oscar Fuentealba , Marc Henneaux , Cédric Troessaert

A twenty--dimensional space of charged solutions of spin--2 equations is proposed. The relation with extended (via dilatation) Poincar\'e group is analyzed. Locally, each solution of the theory may be described in terms of a potential,…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Jacek Jezierski

The recent introduction of a boundary stress tensor for asymptotically flat spacetimes enabled a new construction of energy, momentum, and Lorentz charges. These charges are known to generate the asymptotic symmetries of the theory, but…

High Energy Physics - Theory · Physics 2008-11-26 Robert B. Mann , Donald Marolf , Robert McNees , Amitabh Virmani

We describe the canonical phase space of asymptotically flat gravity in Ashtekar-Barbero variables. We show that the Gauss constraint multiplier must fall off slower than previously considered in order to recover ADM phase space. The…

General Relativity and Quantum Cosmology · Physics 2015-08-06 Miguel Campiglia

The asymptotic structure of three-dimensional hypergravity without cosmological constant is analyzed. In the case of gravity minimally coupled to a spin-$5/2$ field, a consistent set of boundary conditions is proposed, being wide enough so…

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

The Spi framework provides a 4-dimensional approach to investigate the asymptotic properties of gravitational fields as one recedes from isolated systems in any space-like direction, without reference to a Cauchy surface. It is well suited…

General Relativity and Quantum Cosmology · Physics 2024-03-13 Abhay Ashtekar , Neev Khera

In a companion paper we introduced the notion of asymptotically Minkowski spacetimes. These space-times are asymptotically flat at both null and spatial infinity, and furthermore there is a harmonious matching of limits of certain fields as…

General Relativity and Quantum Cosmology · Physics 2024-01-18 Abhay Ashtekar , Neev Khera

We investigate new boundary conditions in three-dimensional asymptotically Anti-de Sitter gravity coupled to higher-spin fields, allowing for arbitrary boundary degrees of freedom. This generalization gives rise to an enlarged algebra of…

High Energy Physics - Theory · Physics 2025-09-19 Arnaud Delfante
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