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Half of the Bondi-Metzner-Sachs (BMS) transformations consist of orientation-preserving conformal homeomorphisms of the extended complex plane known as fractional linear (or Mobius) transformations. These can be of 4 kinds, i.e. they are…

General Relativity and Quantum Cosmology · Physics 2018-10-15 Giampiero Esposito , Francesco Alessio

Super-BMS$_4$ algebras -- also called BMS$_4$ superalgebras -- are graded extensions of the BMS$_4$ algebra. They can be of two different types: they can contain either a finite number or an infinite number of fermionic generators. We show…

High Energy Physics - Theory · Physics 2021-12-22 Oscar Fuentealba , Marc Henneaux , Sucheta Majumdar , Javier Matulich , Turmoli Neogi

We study warped flat geometries in three-dimensional topologically massive gravity. They are quotients of global warped flat spacetime, whose isometries are given by the 2-dimensional centrally extended Poincar\'e algebra. The latter can be…

High Energy Physics - Theory · Physics 2021-01-05 Stéphane Detournay , Wout Merbis , Gim Seng Ng , Raphaela Wutte

The Bondi-van der Burg-Metzner-Sachs (BMS) group is the asymptotic symmetry group of asymptotically flat gravity. Recently, Donnay et al. have derived an analogous symmetry group acting on black hole event horizons. For a certain choice of…

High Energy Physics - Theory · Physics 2017-10-25 Robert F. Penna

In the context of asymptotically flat space-times, it has been suggested to label elementary particles as unitary irreducible representations of the BMS group. We analyse this idea in the spirit of the holographic principle advocating the…

High Energy Physics - Theory · Physics 2009-11-10 Claudio Dappiaggi

In this work we elaborate on an extension of the AdS/CFT framework to a subclass of gravitational theories with vanishing cosmological constant. By building on earlier ideas, we construct a correspondence between Ricci-flat spacetimes…

High Energy Physics - Theory · Physics 2015-06-05 R. N. Caldeira Costa

We consider asymptotically anti-de Sitter spacetimes in three-dimensional topologically massive gravity with a negative cosmological constant, for all values of the mass parameter $\mu$ ($\mu\neq0$). We provide consistent boundary…

High Energy Physics - Theory · Physics 2009-08-03 Marc Henneaux , Cristian Martinez , Ricardo Troncoso

We present a new set of asymptotic conditions for gravity at spatial infinity that includes gravitational magnetic-type solutions, allows for a non-trivial Hamiltonian action of the complete $BMS_4$ algebra, and leads to a non-divergent…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Marc Henneaux , Cédric Troessaert

Various equivalences between so-called soft theorems which constrain scattering amplitudes and Ward identities related to asymptotic symmetries have recently been established in gauge theories and gravity. So far these equivalences have…

High Energy Physics - Theory · Physics 2015-05-21 Miguel Campiglia , Alok Laddha

In the present paper we consider the Einstein-multiple-scalar field theory. When the target space of the scalar fields is a complete, simply connected Riemannian manifold with non-positive sectional curvature we prove that the static and…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Stoytcho Yazadjiev

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

The extended BMS algebra contains a conformal subgroup that acts on the celestial sphere as SO(3,1). It is of interest to perform mode expansions of free fields in Minkowski spacetime that realize this symmetry in a simple way. In the…

High Energy Physics - Theory · Physics 2021-07-28 Chang Liu , David A. Lowe

We describe what can be called the "universal" phase space of AdS3 gravity, in which the moduli spaces of globally hyperbolic AdS spacetimes with compact spatial sections, as well as the moduli spaces of multi-black-hole spacetimes are…

High Energy Physics - Theory · Physics 2013-07-09 Carlos Scarinci , Kirill Krasnov

The Lie algebra generated by supertranslation and superrotation vector fields at null infinity, known as the extended BMS (eBMS) algebra is expected to be a symmetry algebra of the quantum gravity S matrix. However, the algebra of…

High Energy Physics - Theory · Physics 2021-06-29 Miguel Campiglia , Alok Laddha

Superrotations of asymptotically flat spacetimes in four dimensions can be interpreted in terms of including cosmic strings within the phase space of allowed solutions. In this paper we explore the implications of the inclusion of cosmic…

High Energy Physics - Theory · Physics 2020-01-08 Federico Capone , Marika Taylor

Penrose's idea of asymptotic flatness provides a framework for understanding the asymptotic structure of gravitational fields of isolated systems at null infinity. However, the studies of the asymptotic behaviour of fields near spatial…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy , Juan A. Valiente Kroon

In the gravitational context, Liouville theory is the two-dimensional conformal field theory that controls the boundary dynamics of asymptotically AdS_3 spacetimes at the classical level. By taking a suitable limit of the coupling constants…

High Energy Physics - Theory · Physics 2015-06-11 Glenn Barnich , Andrés Gomberoff , Hernán A. González

Scalar BMS-invariant QFT defined on the causal boundary $\scri$ of an asymptotically flat spacetime is discussed. (a)(i) It is noticed that the natural $BMS$ invariant pure quasifree state $\lambda$ on $\cW(\scri)$, recently introduced by…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Valter Moretti

We consider compact binary systems, modeled in general relativity as vacuum or perfect-fluid spacetimes with a helical Killing vector k^\alpha, heuristically, the generator of time-translations in a corotating frame. Systems that are…

General Relativity and Quantum Cosmology · Physics 2014-11-17 John L. Friedman , Koji Uryu , Masaru Shibata

The original Bondi$-$Metzner-Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian 4-dim space$-$times. As such, B is the best candidate for the universal symmetry group of General Relativity…

Mathematical Physics · Physics 2022-01-10 Evangelos Melas