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A review of our results on the asymptotic structure of gravity at spatial infinity in four spacetime dimensions is given. Finiteness of the action and integrability of the asymptotic Lorentz boost generators are key criteria that we…

High Energy Physics - Theory · Physics 2023-06-06 Marc Henneaux , Cédric Troessaert

We consider the maximal $\cal{N}-$extended supergravity theory in 3 dimensions with fermionic generators transforming under real but non necessarily irreducible representations of the internal algebra. We obtain the symmetry algebra at null…

High Energy Physics - Theory · Physics 2019-02-20 Nabamita Banerjee , Arindam Bhattacharjee , Ivano Lodato , Turmoli Neogi

Relativistic field theories with a power law decay in $r^{-k}$ at spatial infinity generically possess an infinite number of conserved quantities because of Lorentz invariance. Most of these are not related in any obvious way to symmetry…

High Energy Physics - Theory · Physics 2019-06-26 Marc Henneaux , Cedric Troessaert

We discuss infinite-dimensional hidden symmetry algebras (and hence an infinite number of conserved nonlocal charges) of the N-extented self-dual super Yang-Mills equations for general N\leq4 by using the supertwistor correspondence.…

High Energy Physics - Theory · Physics 2010-02-03 Martin Wolf

Asymptotic symmetries of AdS$_4$ quantum gravity and gauge theory are derived by coupling the dual CFT$_3$ to Chern-Simons gauge theory and 3D gravity in a "probe" large-level limit. The infinite-dimensional symmetries are shown to arise…

High Energy Physics - Theory · Physics 2018-02-14 Rashmish K. Mishra , Raman Sundrum

We initiate the study of non- and ultra-relativistic higher spin theories. For sake of simplicity we focus on the spin-3 case in three dimensions. We classify all kinematical algebras that can be obtained by all possible In\"on\"u--Wigner…

High Energy Physics - Theory · Physics 2017-01-30 Eric Bergshoeff , Daniel Grumiller , Stefan Prohazka , Jan Rosseel

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

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 investigate the asymptotic symmetry group of the free SU(N)-Yang-Mills theory using the Hamiltonian formalism. We closely follow the strategy of Henneaux and Troessaert who successfully applied the Hamiltonian formalism to the case of…

High Energy Physics - Theory · Physics 2020-10-26 Roberto Tanzi , Domenico Giulini

When discussing consequences of symmetries of dynamical systems based on Noether's first theorem, most standard textbooks on classical or quantum mechanics present a conclusion stating that a global continuous Lie symmetry implies the…

Mathematical Physics · Physics 2021-10-04 Daddy Balondo Iyela , Jan Govaerts

We consider limits of $\mathcal{N} = 4$ super-Yang-Mills (SYM) theory that approach BPS bounds. These limits result in non-relativistic near-BPS theories that describe the effective dynamics near the BPS bounds and upon quantization are…

High Energy Physics - Theory · Physics 2021-04-08 Stefano Baiguera , Troels Harmark , Yang Lei , Nico Wintergerst

We present the general algorithm to establish the classical and quantum asymptotic symmetry algebra for non-AdS higher spin gravity and implement it for the specific example of spin-3 gravity in the non-principal embedding with Lobachevsky…

High Energy Physics - Theory · Physics 2013-06-18 H. Afshar , M. Gary , D. Grumiller , R. Rashkov , M. Riegler

Yang--Mills theories in four space-time dimensions possess a hidden symmetry which does not exhibit itself as a symmetry of classical Lagrangians but is only revealed on the quantum level. It turns out that the effective Yang--Mills…

High Energy Physics - Theory · Physics 2011-05-05 A. V. Belitsky , V. M. Braun , A. S. Gorsky , G. P. Korchemsky

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…

High Energy Physics - Theory · Physics 2017-10-11 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

We construct rotating hairy black holes in SU(2) Einstein-Yang-Mills theory. These stationary axially symmetric black holes are asymptotically flat. They possess non-trivial non-Abelian gauge fields outside their regular event horizon, and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 B. Kleihaus , J. Kunz , F. Navarro-Lerida

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

The asymptotic structure of null and spatial infinities of asymptotically flat spacetimes plays an essential role in discussing gravitational radiation, gravitational memory effect, and conserved quantities in General Relativity. Bondi,…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy

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

We discuss how to systematically compute the asymptotic symmetry algebras of generic three-dimensional bosonic higher-spin gauge theories in backgrounds that are asymptotically AdS. We apply these techniques to a one-parameter family of…

High Energy Physics - Theory · Physics 2015-05-28 Andrea Campoleoni , Stefan Fredenhagen , Stefan Pfenninger

We show that the non-linear BMS$_5$ symmetry algebra of asymptotically flat Einstein gravity in five dimensions, as well as the super-BMS$_4$ superalgebra of asymptotically flat supergravity, can be redefined so as to take a direct sum…

High Energy Physics - Theory · Physics 2023-09-15 Oscar Fuentealba , Marc Henneaux