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The Chern-Simons formulation of $AdS_3$ supergravity is considered. Asymptotic conditions on the Rarita-Schwinger fields are given. Together with the known boundary conditions on the bosonic fields, these ensure that the asymptotic algebra…

High Energy Physics - Theory · Physics 2007-05-23 Karin Bautier

It has recently been shown that, in the vicinity of their event horizons, black holes exhibit an infinite-dimensional symmetry. This symmetry captures relevant physical information about the black hole, and in particular about its…

High Energy Physics - Theory · Physics 2019-09-04 Laura Donnay , Gaston Giribet

Starting with a generalized theory of 2+1 gravity containing an Immirzi like parameter, we derive the modified laws of black hole mechanics using the formalism of weak isolated horizons. Definitions of horizon mass and angular momentum…

General Relativity and Quantum Cosmology · Physics 2011-11-01 Rudranil Basu , Ayan Chatterjee

We present a new gauge for asymptotically flat spacetime that can treat future and past null infinities ($\mathscr{I}^{+}$ or $\mathscr{I}^{-}$) democratically. Our gauge is complementary to Bondi and Ashtekar-Hansen gauges, and is adapted…

High Energy Physics - Theory · Physics 2022-10-19 Chethan Krishnan , Jude Pereira

We make some general remarks on long-ranged configurations in gauge or diffeomorphism invariant theories where the fields are allowed to assume some non vanishing values at spatial infinity. In this case the Gauss constraint only eliminates…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Domenico Giulini

In this paper we establish two results concerning four-dimensional asymptotically flat spacetimes at spatial infinity. First, we show that the six conserved Lorentz charges are encoded in two unique, distinct, but mutually dual symmetric…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Geoffrey Compère , François Dehouck , Amitabh Virmani

We continue our study on the logarithmic balanced model metric initiated in our previous work. By a non-trivial refinement of the set of tools developed in our previous work, we are able to confirm partially a conjecture we made in our…

Complex Variables · Mathematics 2024-05-15 Jingzhou Sun

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

Unlike three-dimensional Einstein gravity, three-dimensional massive gravity admits asymptotically de Sitter space (dS) black hole solutions. These black holes present interesting features and provide us with toy models to study the dS/CFT…

High Energy Physics - Theory · Physics 2015-06-17 Sophie de Buyl , Stephane Detournay , Gaston Giribet , Gim Seng Ng

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 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 study the asymptotic behavior of the spherically symmetric solutions of the system obtained from the dimensional reduction of the six-dimensional Einstein- Gauss-Bonnet action. We show that in general the scalar field that parametrizes…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Mignemi

We study asymptotic symmetries and their associated charges for Maxwell theory on anti de Sitter (AdS) background in any dimension. This is obtained by constructing a conserved symplectic structure for the bulk and a theory on the boundary,…

High Energy Physics - Theory · Physics 2020-01-29 Erfan Esmaeili , Vahid Hosseinzadeh , M. M. Sheikh-Jabbari

We investigate the symmetry structure of inflation in 2+1 dimensions. In particular, we show that the asymptotic symmetries of three-dimensional de Sitter space are in one-to-one correspondence with cosmological adiabatic modes for the…

High Energy Physics - Theory · Physics 2017-01-25 Kurt Hinterbichler , Austin Joyce , Justin Khoury

In the Hamiltonian formulation, it is not a priori clear whether a symmetric configuration will keep its symmetry during evolution. In this paper, we give precise requirements of when this is the case and propose a symmetry restriction to…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Wojciech Kamiński , Klaus Liegener

We consider conformal gravity boundary conditions and outline the highest dimensional non-trivial asymptotic symmetry algebras of conformal gravity. The highest among them is five dimensional and leads to a global geon solution.

High Energy Physics - Theory · Physics 2017-09-26 I. Lovrekovic

In this work we give a complete picture of how to in a direct simple way define the mass at null infinity in harmonic coordinates in three different ways that we show satisfy the Bondi mass loss law. The first and second way involve only…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Lili He , Hans Lindblad

In this paper we use the AdS/CFT correspondence to refine and then establish a set of old conjectures about symmetries in quantum gravity. We first show that any global symmetry, discrete or continuous, in a bulk quantum gravity theory with…

High Energy Physics - Theory · Physics 2019-06-07 Daniel Harlow , Hirosi Ooguri

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

To study asymptotic structures, we regularize Einstein's field equations by means of conformal transformations. The conformal factor is chosen so that it carries a dimensional scale that captures crucial asymptotic features. By choosing a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Niklas Rohr , Claes Uggla
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