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We generalise the notions of supersymmetry and superspace by allowing generators and coordinates transforming according to more general Lorentz representations than the spinorial and vectorial ones of standard lore. This yields novel…

High Energy Physics - Theory · Physics 2009-10-30 C. Devchand , Jean Nuyts

In this work we analyze the asymptotic symmetries of the three-dimensional Chern-Simons (CS) gravity theory for a higher spin extension of the so-called Maxwell algebra. We propose a generalized set of asymptotic boundary conditions for the…

High Energy Physics - Theory · Physics 2025-02-26 Patrick Concha , Javier Matulich , Daniel Pino , Evelyn Rodríguez

We investigate the hypersymmetry bounds on the higher spin black hole parameters that follow from the asymptotic symmetry superalgebra in higher-spin anti-de Sitter gravity in three spacetime dimensions. We consider anti-de Sitter…

High Energy Physics - Theory · Physics 2015-09-02 Marc Henneaux , Alfredo Perez , David Tempo , Ricardo Troncoso

The asymptotic structure of gravity in $D=6$ spacetime dimensions is described at spatial infinity in the asymptotically flat context through Hamiltonian (ADM) methods. Special focus is given on the BMS supertranslation subgroup. It is…

High Energy Physics - Theory · Physics 2023-12-21 Oscar Fuentealba , Marc Henneaux

We discuss the emergence of W-algebras as asymptotic symmetries of higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative cosmological constant. We focus on models involving a finite number of bosonic…

High Energy Physics - Theory · Physics 2010-11-08 Andrea Campoleoni , Stefan Fredenhagen , Stefan Pfenninger , Stefan Theisen

We present N=2 supersymmetry transformations, both in N=1, D=4 Minkowski and anti-de Sitter superspaces, for higher superspin massless theories. It is noted that the existence of dual versions of massless supermultiplets with arbitrary…

High Energy Physics - Theory · Physics 2009-10-30 S. James Gates , Sergei M. Kuzenko , Alexander G. Sibiryakov

Recently it has been shown that there is asymptotic BMS-like symmetry associated with the near-horizon geometry of black holes in three and four dimensions. In this paper, we show that the presence of such BMS-like symmetry is a ubiquitous…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Changfu Shi , Jianwei Mei

Motivated by connections with observable phenomena, in particular with soft factorization theorems for scattering amplitudes and with memory effects, renewed interest has been recently shown in the subject of asymptotic symmetries at null…

High Energy Physics - Theory · Physics 2019-11-28 Carlo Heissenberg

We study several properties of some new charges of asymptotically flat spacetimes. These dual supertranslation charges are akin to the magnetic large $U(1)$ charges in QED. In this paper we find the symmetries associated with these charges…

High Energy Physics - Theory · Physics 2020-03-23 Uri Kol , Massimo Porrati

We consider (2+1)-dimensional (N, M)-extended higher-spin anti-de Sitter supergravity and study its asymptotic symmetries. The theory is described by the Chern-Simons action based on a real, infinite-dimensional higher-spin superalgebra. We…

High Energy Physics - Theory · Physics 2015-06-04 Marc Henneaux , Gustavo Lucena Gómez , Jaesung Park , Soo-Jong Rey

We investigate the asymptotic symmetries of asymptotically flat spacetimes at spatial infinity. We propose a new symplectic structure and conservative boundary conditions in a polyhomogeneous Beig-Schmidt expansion. The asymptotic…

High Energy Physics - Theory · Physics 2026-03-11 Florian Girelli , Simon Langenscheidt , Giulio Neri , Christopher Pollack , Celine Zwikel

It is natural to regulate an infinite-sized system by imposing a boundary condition at finite distance, placing the system in a "box." This breaks symmetries, though the breaking is small when the box is large. One should thus be able to…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Tomas Andrade , Donald Marolf

We consider the Sp(2n) invariant formulation of higher spin fields on flat and curved backgrounds of constant curvature.In this formulation an infinite number of higher spin fields are packed into single scalar and spinor master fields…

High Energy Physics - Theory · Physics 2014-09-10 Ioannis Florakis , Dmitri Sorokin , Mirian Tsulaia

We investigate the asymptotic symmetries of General Relativity at spatial infinity within the first-order formalism described by the Holst action. Employing the covariant phase space method, we propose a set of relaxed boundary conditions…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Sepideh Bakhoda , Hongguang Liu

We address the problem of consistent Campiglia-Laddha superrotations in $d>4$ by solving Bondi-Sachs gauge vacuum Einstein equations at the non-linear level with the most general boundary conditions preserving the null nature of infinity.…

High Energy Physics - Theory · Physics 2022-02-08 Federico Capone

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

A consistent set of asymptotic conditions for the simplest supergravity theory without cosmological constant in three dimensions is proposed. The canonical generators associated to the asymptotic symmetries are shown to span a…

High Energy Physics - Theory · Physics 2015-06-22 Glenn Barnich , Laura Donnay , Javier Matulich , Ricardo Troncoso

Assuming the existence of a field theory in D dimensions dual to (D+1)-dimensional flat space, governed by the asymptotic symmetries of flat space, we make some preliminary remarks about the properties of this field theory. We review…

High Energy Physics - Theory · Physics 2017-02-01 Arjun Bagchi , Rudranil Basu , Ashish Kakkar , Aditya Mehra

We consider two possible flat space limits of three dimensional $\mathcal{N} = (1,1)$ AdS supergravity. They differ by how the supercharges are scaled with the AdS radius $\ell$: the first limit (democratic) leads to the usual…

High Energy Physics - Theory · Physics 2016-12-02 Ivano Lodato , Wout Merbis

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