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We describe asymptotic symmetries at spatial infinity of asymptotically flat spacetimes within the context of a generalization of the Beig-Schmidt-Ashtekar-Romano-framework. We demonstrate that it is possible to relax certain smoothness…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Sharad Mishra , Kinjal Banerjee , Jishnu Bhattacharyya

We show that the BMS-supertranslations and their associated supermomenta on past null infinity can be related to those on future null infinity, proving the conjecture of Strominger for a class of spacetimes which are asymptotically-flat in…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Kartik Prabhu

In recent years soft factorization theorems in scattering amplitudes have been reinterpreted as conservation laws of asymptotic charges. In gauge, gravity, and higher spin theories the asymptotic charges can be understood as canonical…

High Energy Physics - Theory · Physics 2019-04-18 Miguel Campiglia , Laurent Freidel , Florian Hopfmüller , Ronak M Soni

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

I examine the relationship between $(d+1)$-dimensional Poincar\'e metrics and $d$-dimensional conformal manifolds, from both mathematical and physical perspectives. The results have a bearing on several conceptual issues relating to…

General Relativity and Quantum Cosmology · Physics 2018-01-04 Sebastian De Haro

We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension $\Delta$. This effort lands us…

High Energy Physics - Theory · Physics 2020-10-28 Laura Donnay , Sabrina Pasterski , Andrea Puhm

We study general relativity at a null boundary using the covariant phase space formalism. We define a covariant phase space and compute the algebra of symmetries at the null boundary by considering the boundary-preserving diffeomorphisms…

High Energy Physics - Theory · Physics 2023-07-20 Venkatesa Chandrasekaran , Eanna E. Flanagan , Kartik Prabhu

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

A finitely supertranslated Schwarzschild black hole possesses nontrivial super-Lorentz charges compared with the standard one. This may impact the quasinormal modes of the black hole. Since the Einstein's equations are generally covariant,…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Shaoqi Hou , Kai Lin , Zong-Hong Zhu

The fundamental symmetries in gravity and gauge theories, formulated using differential forms, are gauge transformations and diffeomorphisms. These symmetries act in distinct ways on different dynamical fields. Yet, the commutator of these…

General Relativity and Quantum Cosmology · Physics 2025-07-01 O. Ramírez , Y. Bonder

We present a new set of supersymmetric stationary solutions of pure N=4,d=4 supergravity (and, hence, of low-energy effective string theory) that generalize (and include) the Israel-Wilson-Perj\'es solutions of Einstein-Maxwell theory. All…

High Energy Physics - Theory · Physics 2014-11-18 E. Bergshoeff , R. Kallosh , T. Ortin

BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically…

High Energy Physics - Theory · Physics 2022-09-01 Noah Miller , Andrew Strominger , Adam Tropper , Tianli Wang

The set of solutions to the AdS$_3$ Einstein gravity with Brown-Henneaux boundary conditions is known to be a family of metrics labeled by two arbitrary periodic functions, respectively left and right-moving. It turns out that there exists…

High Energy Physics - Theory · Physics 2016-02-17 G. Compère , P. Mao , A. Seraj , M. M. Sheikh-Jabbari

We study the subleading structure of asymptotically-flat spacetimes and its relationship to the $w_{1+\infty}$ loop algebra of higher spin charges. We do so using both the Bondi-Sachs and the Newman-Penrose formalism, via a dictionary built…

High Energy Physics - Theory · Physics 2025-01-22 Marc Geiller

Gauge theories and perturbative gravity in four dimensions are governed by a tower of infinite-dimensional symmetries which arise from tree-level soft theorems. However, aside from the leading soft theorems which are all-loop exact,…

High Energy Physics - Theory · Physics 2024-12-24 Sangmin Choi , Alok Laddha , Andrea Puhm

We recast the action of pure gravity into a form that is invariant under a twofold Lorentz symmetry. To derive this representation, we construct a general parameterization of all theories equivalent to the Einstein-Hilbert action up to a…

High Energy Physics - Theory · Physics 2017-01-31 Clifford Cheung , Grant N. Remmen

We propose a framework to study local gauge theories on manifolds with boundaries and asymptotic symmetries, which is based on representing them as so-called gauge PDEs. These objects extend the conventional BV-AKSZ sigma-models to the case…

Mathematical Physics · Physics 2024-04-25 Maxim Grigoriev , Mikhail Markov

It is well known that the Einstein-Hilbert action in two dimensions is topological and yields an identically vanishing Einstein tensor. Consequently one is faced with difficulties when formulating a non-trivial gravity model. We present a…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Christian G. Boehmer , Erik Jensko

We discuss the asymptotic symmetry algebra of the Schrodinger-invariant metrics in d+3 dimensions and its realization on finite temperature solutions of gravity coupled to matter fields. These solutions have been proposed as gravity…

High Energy Physics - Theory · Physics 2014-11-20 Geoffrey Compère , Sophie de Buyl , Stéphane Detournay , Kentaroh Yoshida

We study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has the symmetries of a Young tableau with two columns of equal length. When these…

High Energy Physics - Theory · Physics 2023-03-22 Kurt Hinterbichler , Diego M. Hofman , Austin Joyce , Grégoire Mathys