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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

We propose novel asymptotically locally flat boundary conditions for Einstein Gravity without cosmological constant in four dimensions that are consistent with the variational principle. They allow for complex solutions that are…

High Energy Physics - Theory · Physics 2023-10-31 Nishant Gupta , Partha Paul , Nemani V. Suryanarayana

We give a geometrical definition of the asymptotic flatness at null infinity in spacetimes of even dimension $d$ greater than 4 within the framework of conformal infinity. Our definition is shown to be stable against perturbations to linear…

High Energy Physics - Theory · Physics 2007-05-23 Stefan Hollands , Akihiro Ishibashi

We present a consistent way of coupling three-dimensional Maxwell Chern-Simons gravity theory with massless spin-$\frac{5}{2}$ gauge fields. We first introduce the simplest hyper-Maxwell Chern-Simons gravity containing two massless spin-2…

High Energy Physics - Theory · Physics 2021-09-15 Ricardo Caroca , Patrick Concha , Javier Matulich , Evelyn Rodríguez , David Tempo

We present the asymptotic analysis of 3D conformal gravity as a SO(3,2) Chern-Simons gauge theory with Minkowskian (flat) and AdS boundary conditions. We further extend these boundary conditions to the case where the Weyl mode and the…

High Energy Physics - Theory · Physics 2015-06-16 Hamid R. Afshar

We use a covariant phase space formalism to give a general prescription for defining Hamiltonian generators of bosonic and fermionic symmetries in diffeomorphism invariant theories, such as supergravities. A simple and general criterion is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Hollands , Donald Marolf

We study a three-dimensional Chern-Simons gravity theory based on the Maxwell algebra. We find that the boundary dynamics is described by an enlargement and deformation of the $\mathfrak{bms}_3$ algebra with three independent central…

High Energy Physics - Theory · Physics 2018-10-16 Patrick Concha , Nelson Merino , Olivera Miskovic , Evelyn Rodríguez , Patricio Salgado-Rebolledo , Omar Valdivia

We present and discuss near horizon boundary conditions for flat space higher-spin gravity in three dimensions. As in related work our boundary conditions ensure regularity of the solutions independently of the charges. The asymptotic…

High Energy Physics - Theory · Physics 2019-01-29 Martin Ammon , Daniel Grumiller , Stefan Prohazka , Max Riegler , Raphaela Wutte

Asymptotic symmetries in Carrollian gravitational theories in 3+1 space and time dimensions obtained from "magnetic" and "electric" ultrarelativistic contractions of General Relativity are analyzed. In both cases, parity conditions are…

High Energy Physics - Theory · Physics 2022-01-05 Alfredo Pérez

We investigate the asymptotic structure of electromagnetism in Minkowski space in even and odd spacetime dimensions $\geq 4$. We focus on $d>4$ since the case $d=4$ has been studied previously at length. We first consider spatial infinity…

High Energy Physics - Theory · Physics 2019-06-19 Marc Henneaux , Cedric Troessaert

We investigate the notion of asymptotic symmetries in classical gravity in higher even dimensions, with $D = 6$ space-time dimensions as the prototype. Unlike in four dimensions, certain non-linearities persist which necessitates the…

High Energy Physics - Theory · Physics 2022-01-21 Chandramouli Chowdhury , Ruchira Mishra , Siddharth G. Prabhu

The asymptotic symmetry analysis of Maxwell theory at spatial infinity of Minkowski space with $d\geq 3$ is performed. We revisit the action principle in de Sitter slicing and make it well-defined by an asymptotic gauge fixing. In…

High Energy Physics - Theory · Physics 2020-01-08 Erfan Esmaeili

We construct generalized sets of asymptotic conditions for both three-dimensional Maxwell Chern-Simons gravity and a novel extension that incorporates torsion through a deformation of the Maxwell algebra. These boundary conditions include…

High Energy Physics - Theory · Physics 2026-02-25 Luis Avilés , Patrick Concha , Javier Matulich , Evelyn Rodríguez , David Tempo

After motivating why the study of asymptotically flat spaces is important in loop quantum gravity, we review the extension of the standard framework of this theory to the asymptotically flat sector based on the GNS construction. In…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Matthias Arnsdorf

We present a systematic procedure to renormalize the symplectic potential of the electromagnetic field at null infinity in Minkowski space. We work in $D\geq6$ spacetime dimensions as a toy model of General Relativity in $D\geq4$…

High Energy Physics - Theory · Physics 2020-01-08 Laurent Freidel , Florian Hopfmüller , Aldo Riello

We use conformal geometry methods and the construction of Friedrich's cylinder at spatial infinity to study the propagation of spin-$0$ fields (solutions to the wave equation) on $n$-dimensional Minkowski spacetimes in a neighbourhood of…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Edgar Gasperín , Mariem Magdy , Filipe C. Mena

We study the problem of interacting theories with (partially)-massless and conformal higher spin fields without matter in three dimensions. A new class of theories that have partially-massless fields is found, which significantly extends…

High Energy Physics - Theory · Physics 2020-09-23 Maxim Grigoriev , Karapet Mkrtchyan , Evgeny Skvortsov

BMS symmetries have been attracting a great deal of interest in recent years. Originally discovered as being the symmetries of asymptotically flat spacetime geometries at null infinity in General Relativity, BMS symmetries have also been…

Mathematical Physics · Physics 2019-10-02 Daddy Balondo Iyela , Jan Govaerts

The locally supersymmetric extension of the most general gravity theory in three dimensions leading to first order field equations for the vielbein and the spin connection is constructed. Apart from the Einstein-Hilbert term with…

High Energy Physics - Theory · Physics 2008-11-26 Alex Giacomini , Ricardo Troncoso , Steven Willison

A generalization of the Brown-Henneaux boundary conditions is introduced for pure gravity with negative cosmological constant in 3 dimensions. This leads to new degrees of freedom and to an enhancement of the symmetry algebra. Up to the…

High Energy Physics - Theory · Physics 2015-06-15 Cedric Troessaert