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The boundary stress tensor approach has proven extremely useful in defining mass and angular momentum in asymptotically anti-de Sitter spaces with CFT duals. An integral part of this method is the use of boundary counterterms to regulate…

High Energy Physics - Theory · Physics 2013-05-29 James T. Liu , W. A. Sabra

We develop a general framework for constructing charges associated with diffeomorphisms in gravitational theories using covariant phase space techniques. This framework encompasses both localized charges associated with spacetime…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Venkatesa Chandrasekaran , Eanna E. Flanagan , Ibrahim Shehzad , Antony J. Speranza

In recent years soft factorization theorems in scattering amplitudes have been reinterpreted as conservation laws of asymptotic charges. In gauge, gravity, and higher spin theories the asymptotic charges can be understood as canonical…

High Energy Physics - Theory · Physics 2019-04-18 Miguel Campiglia , Laurent Freidel , Florian Hopfmüller , Ronak M Soni

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

Soft theorems can be recast as Ward identities of asymptotic symmetries. We review such relation for the leading and subleading soft graviton theorems in arbitrary even dimensions. While soft theorems are trivially generalized to dimensions…

High Energy Physics - Theory · Physics 2022-11-30 Stefano Lionetti

We extend the asymptotic symmetries of electromagnetism in order to consistently include angle-dependent $u(1)$ gauge transformations $\epsilon$ that involve terms growing at spatial infinity linearly and logarithmically in $r$, $\epsilon…

High Energy Physics - Theory · Physics 2023-03-29 Oscar Fuentealba , Marc Henneaux , Cédric Troessaert

We present a modified version of the boundary counterterm method for removing divergences from the action of an asymptotically $AdS$ spacetime. The standard approach renders the action finite but leaves diffeomorphism invariance partially…

High Energy Physics - Theory · Physics 2007-05-23 Robert McNees

This thesis deals with the construction of conserved charges for asymptotically flat spacetimes at spatial infinity in four spacetime dimensions in a hopefully pedagogical way. As a first motivation of this work, it highlights the…

High Energy Physics - Theory · Physics 2011-12-20 François Dehouck

There exist instances of dynamical systems possessing symmetry transformations of which the conserved Noether charges generating these symmetries feature an explicit time dependence in their functional representation over phase space. The…

High Energy Physics - Theory · Physics 2019-07-02 Jan Govaerts

The recently-developed techniques of Noether analysis of the quantum-group spacetime symmetries of some noncommutative field theories rely on the {\it ad hoc} introduction of some peculiar auxiliary transformation parameters, which appear…

High Energy Physics - Theory · Physics 2010-09-17 Giovanni Amelino-Camelia , Giulia Gubitosi , Flavio Mercati , Giacomo Rosati

We consider counterterms for odd dimensional holographic CFTs. These counterterms are derived by demanding cut-off independence of the CFT partition function on $S^d$ and $S^1 \times S^{d-1}$. The same choice of counterterms leads to a…

High Energy Physics - Theory · Physics 2013-05-30 Kallol Sen , Aninda Sinha , Nemani V. Suryanarayana

We review some aspects of the implementation of spacetime symmetries in noncommutative field theories, emphasizing their origin in string theory and how they may be used to construct theories of gravitation. The geometry of canonical…

High Energy Physics - Theory · Physics 2009-11-11 Richard J. Szabo

We describe a class of asymptotically AdS scalar field spacetimes, and calculate the associated conserved charges for three, four and five spacetime dimensions using the conformal and counter-term prescriptions. The energy associated with…

High Energy Physics - Theory · Physics 2016-09-06 Saurya Das , J. Gegenberg , V. Husain

The work describes the method of construction of charges (conserved quantities) for the gravity field in the (3 + 1) decomposition. The presented construction uses tensors of the electrical and magnetic parts of the Weyl tensor and…

General Relativity and Quantum Cosmology · Physics 2019-03-19 Jacek Jezierski , Szymon Migacz

We find a class of (2+1)-dimensional spacetimes admitting Killing spinors appropriate to (2,0) adS-supergravity. The vacuum spacetimes include anti-de Sitter (adS) space and charged extreme black holes, but there are many others, including…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. M. Izquierdo , P. K. Townsend

This article presents a precise description of the interplay between the symmetries of a quantum or classical theory with spacetime interpretation, and some of its physical properties relating to causality, horizons and positive energy. Our…

High Energy Physics - Theory · Physics 2007-05-23 Christophe Patricot

Infinite sets of asymptotic soft-charges were recently shown to be related to new symmetries of the $S$-matrix, spurring a large amount of research on this and related questions. Notwithstanding, the raison-d'\^etre of these soft-charges…

High Energy Physics - Theory · Physics 2020-06-24 Aldo Riello

In this paper, the connection between the Lorentz-covariant counterterms that regularize the four-dimensional AdS gravity action and topological invariants is explored. It is shown that demanding the spacetime to have a negative constant…

High Energy Physics - Theory · Physics 2009-11-11 Rodrigo Olea

Surface charges of a $p$-form theory on the boundary of an AdS$_{d+1}$ spacetime are computed. Counter-terms on the boundary produce divergent corner-terms which holographically renormalize the symplectic form. Different choices of boundary…

High Energy Physics - Theory · Physics 2021-11-24 Erfan Esmaeili , Vahid Hosseinzadeh

We systematically include central charges into supersymmetric quantum mechanics formulated on curved Euclidean spaces, and explain how the background geometry manifests itself on states of the theory. In particular, we show in detail how,…

High Energy Physics - Theory · Physics 2007-05-23 Michael Faux , David Kagan , Donald Spector