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Related papers: Super-BMS$_3$ algebras from $\mathcal{N}=2$ flat s…

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Minimal massive supergravity is the supersymmetric extension of minimal massive gravity in three dimensions. The theory admits a supersymmetric anti-de Sitter vacuum around which the propagating modes of spin 2 and 3/2 combine into a…

High Energy Physics - Theory · Physics 2025-01-16 Nihat Sadik Deger , Jan Rosseel , Henning Samtleben

In this paper we present a new set of asymptotic boundary conditions for Einstein gravity in 2+1 dimensions with vanishing cosmological constant that are a generalization of the Barnich-Comp{\`e}re boundary conditions gr-qc/0610130. These…

High Energy Physics - Theory · Physics 2017-03-01 Stéphane Detournay , Max Riegler

The BMS (Bondi-van der Burg-Metzner-Sachs) symmetry arises as the asymptotic symmetry of flat spacetime at null infinity. In particular, the BMS algebra for three dimensional flat spacetime (BMS$_3$) is generated by the super-rotation…

High Energy Physics - Theory · Physics 2022-07-13 Peng-xiang Hao , Wei Song , Xianjin Xie , Yuan Zhong

In all the odd dimensions which allow Majorana spinors, we consider a gravitational Lagrangian possessing local Poincare invariance and given by the dimensional continuation of the Euler density in one dimension less. We show that the local…

High Energy Physics - Theory · Physics 2014-11-18 Mokhtar Hassaine , Mauricio Romo

We investigate asymptotic symmetries in flat backgrounds of dimension higher than or equal to four. For spin two we provide the counterpart of the extended BMS transformations found by Campiglia and Laddha in four-dimensional Minkowski…

High Energy Physics - Theory · Physics 2021-02-03 Andrea Campoleoni , Dario Francia , Carlo Heissenberg

Using recent results on string on $AdS_{3}\times N^d$, where N is a d-dimensional compact manifold, we re-examine the derivation of the non trivial extension of the (1+2) dimensional-Poincar\'e algebra obtained by Rausch de Traubenberg and…

High Energy Physics - Theory · Physics 2009-01-07 I. Benkaddour , A. El. Rhalami , E. H. Saidi

The surface charges associated with the symmetries of asymptotically flat four dimensional spacetimes at null infinity are constructed. They realize the symmetry algebra in general only up to a field-dependent central extension that…

High Energy Physics - Theory · Physics 2015-05-28 Glenn Barnich , Cedric Troessaert

BMS algebra in three spacetime dimensions can be deformed into a two parameter family of algebra known as $W(a,b)$ algebra. For $a=0$, we show that other than $W(0,-1)$, no other $W(0,b)$ algebra admits a non-degenerate bilinear and thus…

High Energy Physics - Theory · Physics 2023-08-23 Nabamita Banerjee , Arindam Bhattacharjee , Surajit Biswas , Arpita Mitra , Debangshu Mukherjee

The gravitational charge algebra of generic asymptotically locally (A)dS spacetimes is derived in $n$ dimensions. The analysis is performed in the Starobinsky/Fefferman-Graham gauge, without assuming any further boundary condition than the…

High Energy Physics - Theory · Physics 2023-01-11 Adrien Fiorucci , Romain Ruzziconi

Eleven-dimensional supergravity has a non-relativistic variant obtained by taking a limit associated with the M2 brane. Consistency of this non-relativistic supergravity requires constraints. There is one choice of constraints which keeps…

High Energy Physics - Theory · Physics 2025-04-09 Chris D. A. Blair

In three and two dimensions the asymptotic symmetry groups of $AdS$ spaces are infinite dimensional. This can be explained easily by noting the relations $AdS_3 \simeq SL(2)$ and $AdS_2 \simeq SL(2)/SO(2)$, i.e. that the asymptotic…

High Energy Physics - Theory · Physics 2012-12-11 Heikki Arponen

We continue the analysis of BPS bounds started in arXiv:1110.2688, extending it to the full class of N=2 gauged supergravity theories with arbitrary vector and hypermultiplets. We derive the general form of the asymptotic charges for…

High Energy Physics - Theory · Physics 2015-06-03 Kiril Hristov

The symmetry algebra of asymptotically flat spacetimes at null infinity in four dimensions in the sense of Newman and Unti is revisited. As in the Bondi-Metzner-Sachs gauge, it is shown to be isomorphic to the direct sum of the abelian…

General Relativity and Quantum Cosmology · Physics 2013-01-24 Glenn Barnich , Pierre-Henry Lambert

We introduce a natural set of asymptotic conditions in the spacelike stretched AdS sector of topologically massive gravity. The Poisson bracket algebra of the canonical generators is shown to have the form of the semi-direct sum of a $u(1)$…

General Relativity and Quantum Cosmology · Physics 2010-03-25 M. Blagojević , B. Cvetković

We define and study asymptotic Killing and conformal Killing vectors in $d$-dimensional Minkowski, (A)dS, $\mathbb{R}\times S^{d-1}$ and ${\rm AdS}_2\times S^{d-2}$. We construct the associated quantum charges for an arbitrary CFT and show…

High Energy Physics - Theory · Physics 2020-12-25 Laura Donnay , Gaston Giribet , Felipe Rosso

We determine the asymptotic symmetry algebra (for fields of low spin) of the $M\times M$ matrix extended Vasiliev theories on AdS$_3$ and find that it agrees with the $\mathcal{W}$-algebra of their proposed coset duals. Previously it was…

High Energy Physics - Theory · Physics 2015-06-22 Constantin Candu , Cheng Peng , Carl Vollenweider

We examine supersymmetric properties of null-warped AdS$_3$, or alternatively Schrodinger geometries, dual to putative warped CFTs in two dimensions. We classify super Schrodinger subalgebras of the superalgebra psu(1, 1$|$2) $\oplus$…

High Energy Physics - Theory · Physics 2015-06-18 Jaehoon Jeong , Eoin Ó Colgáin , Kentaroh Yoshida

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

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

The asymptotic structure of three-dimensional Carroll gravity with negative cosmological constant is studied. We formulate a consistent set of boundary conditions preserved by an infinite-dimensional extension of the AdS$_3$ Carroll…

High Energy Physics - Theory · Physics 2025-06-25 Luis Avilés , Oscar Fuentealba , Diego Hidalgo , Pablo Rodríguez