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We propose a procedure for computing the boundary stress tensor associated with a gravitating system in asymptotically anti-de Sitter space. Our definition is free of ambiguities encountered by previous attempts, and correctly reproduces…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Per Kraus

We show that the background field method applied to supergravity in adS space-time provides the path integral for the theory in the bulk with conformal symmetry associated with the isometry of the adS space. This in turn allows to establish…

High Energy Physics - Theory · Physics 2009-10-31 Renata Kallosh , Antoine Van Proeyen

This thesis is organized as follows. In Chapter 2, some preliminaries are given on isometries and conformal symmetries, and we become familiar with the Virasoro algebra. Two examples of classical central charges are discussed. Chapter 3…

High Energy Physics - Theory · Physics 2016-01-27 Sacha Jennifer van Albada

The asymptotic symmetries of electromagnetism in all higher spacetime dimensions $d>4$ are extended, by incorporating consistently angle-dependent $u(1)$ gauge transformations with a linear growth in the radial coordinate at spatial…

High Energy Physics - Theory · Physics 2023-05-03 Oscar Fuentealba

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

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 consider the algebra associated to a group of transformations which are symmetries of a regular mechanical system (i.e. system free of constraints). For time dependent coordinate transformations we show that a central extension may…

Quantum Physics · Physics 2007-05-23 A. Cabo , J. L. Lucio M. , V. Villanueva

In this short note, we verify explicitly in static coordinates that the non trivial asymptotic Killing vectors at spatial infinity for anti-de Sitter space-times correspond one to one to the conformal Killing vectors of the conformally flat…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Glenn Barnich , Friedemann Brandt , Kim Claes

The recently proposed technique to regularize the divergences of the gravitational action on non-compact space by adding boundary counterterms is studied. We propose prescription for constructing the boundary counterterms which are…

High Energy Physics - Theory · Physics 2009-10-31 Sergey N. Solodukhin

We construct a quasi-local formalism for conserved charges in a theory of gravity in the presence of matter fields which may have slow falloff behaviors at the asymptotic infinity. This construction depends only on equations of motion and…

High Energy Physics - Theory · Physics 2014-11-20 Seungjoon Hyun , Jaehoon Jeong , Sang-A Park , Sang-Heon Yi

We first recall a covariant formalism used to compute conserved charges in gauge invariant theories. We then study the case of gravity for two different boundary conditions, namely spatial infinity and a Brane-World boundary. The new…

High Energy Physics - Theory · Physics 2007-05-23 Sebastian Silva

A background-independent, Lorentz-covariant approach to compute conserved charges in odd-dimensional AdS gravity, alternative to the standard counterterms method, is presented. A set of boundary conditions on the asymptotic extrinsic and…

High Energy Physics - Theory · Physics 2007-05-23 P. Mora , R. Olea , R. Troncoso , J. Zanelli

In any generally covariant theory of gravity, we show the relationship between the linearized asymptotically conserved current and its non-linear completion through the identically conserved current. Our formulation for conserved charges is…

High Energy Physics - Theory · Physics 2014-07-10 Wontae Kim , Shailesh Kulkarni , Sang-Heon Yi

We unravel some subtleties involving the definition of sphere angular momentum charges in AdS_q \times S^p spacetimes, or equivalently, R-symmetry charges in the dual boundary CFT. In the AdS_3 context, it is known that charges can be…

High Energy Physics - Theory · Physics 2009-11-11 James Hansen , Per Kraus

We use a covariant phase space formalism to give a general prescription for defining Hamiltonian generators of bosonic and fermionic symmetries in diffeomorphism invariant theories, such as supergravities. A simple and general criterion is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Hollands , Donald Marolf

We use planar coordinates as well as hyperbolic coordinates to separate the de Sitter spacetime into two parts. These two ways of cutting the de Sitter give rise to two different spatial infinities. For spacetimes which are asymptotic to…

Differential Geometry · Mathematics 2009-11-09 Mingxing Luo , Naqing Xie , Xiao Zhang

We study canonical conformal gravity in four dimensions and construct the gauge generators and the associated charges. Using slightly generalized boundary conditions compared to those in \cite{Grumiller:2013mxa} we find that the charges…

High Energy Physics - Theory · Physics 2015-06-03 Maria Irakleidou , Iva Lovrekovic , Florian Preis

Conserved charges in theories with gauge symmetries are supported on codimension-2 surfaces in the bulk spacetime. It has recently been suggested that various classical formulations of gravity dynamics display different symmetries, and…

High Energy Physics - Theory · Physics 2022-03-17 Luca Ciambelli , Robert G. Leigh

We use the formulation of asymptotically anti-de Sitter boundary conditions given by Ashtekar and Magnon to obtain a coordinate expression for the general asymptotically AdeS metric in a neighbourhood of infinity. From this, we are able to…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Woolgar

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