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Recent work has shown that the addition of an appropriate covariant boundary term to the gravitational action yields a well-defined variational principle for asymptotically flat spacetimes and thus leads to a natural definition of conserved…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Robert B. Mann , Donald Marolf , Amitabh Virmani

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

The NGT field equations with sources are expanded first about a flat Minkowski background and then about a GR background to first-order in the antisymmetric part of the fundamental tensor, $g_{\mu\nu}$. From the general, static spherically…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. W. Moffat

We have a new observation that near horizon symmetry generators, corresponding to diffeomorphisms which leave the horizon structure invariant, satisfy noncommutative Heisenberg algebra. The results are valid for any null surfaces (which has…

General Relativity and Quantum Cosmology · Physics 2017-02-23 Bibhas Ranjan Majhi

A discussion of asymptotic weak and strong Poincare' charges in metric gravity is given to identify the proper Hamiltonian boundary conditions. The asymptotic part of the lapse and shift functions is put equal to their analogues on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luca Lusanna , Roberto de Pietri

We calculate canonical charges in four dimensional conformal gravity using the generalised boundary conditions presented in \cite{Grumiller:2013mxa}. We show that the charges are finite and conserved. The asymptotic symmetry algebras…

High Energy Physics - Theory · Physics 2016-01-05 I. Lovrekovic

We present a comprehensive discussion of gravitational charges and radiation in four-dimensional asymptotically locally de Sitter (AldS) spacetimes. Such spacetimes have compact spatial sections and possess spacelike past and future…

High Energy Physics - Theory · Physics 2025-12-17 Aaron Poole , Kostas Skenderis , Marika Taylor

Surface charges and their algebra in interacting Lagrangian gauge field theories are investigated by using techniques from the variational calculus. In the case of exact solutions and symmetries, the surface charges are interpreted as a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Glenn Barnich , Geoffrey Compere

Four-dimensional asymptotically flat spacetimes at spatial infinity are defined from first principles without imposing parity conditions or restrictions on the Weyl tensor. The Einstein-Hilbert action is shown to be a correct variational…

High Energy Physics - Theory · Physics 2015-05-28 Geoffrey Compère , François Dehouck

We establish that boundary degrees of freedom associated with a generic co-dimension one null surface in $D$ dimensional pure Einstein gravity naturally admit a thermodynamical description. We expect the $\textit{null surface…

High Energy Physics - Theory · Physics 2022-03-23 H. Adami , M. M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo

Because the gravitational Hamiltonian is a pure boundary term on-shell, asymptotic gravitational fields store information in a manner not possible in local field theories. This fact has consequences for both perturbative and…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Donald Marolf

When formulated in terms of connection and coframes, and in the time gauge, the phase space of general relativity consists of a pair of conjugate fields: the flux 2-form and the Ashtekar connection. On this phase-space, one has to impose…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Laurent Freidel , Etera R. Livine , Daniele Pranzetti

A classical $E_{d(d)}$-invariant Hamiltonian formulation of world-volume theories of half-BPS p-branes in type IIb and eleven-dimensional supergravity is proposed, extending known results to $d \leq 6$. It consists of a Hamiltonian,…

High Energy Physics - Theory · Physics 2021-06-30 David Osten

In these lectures we give a geometrical formulation of N-extended supergravities which generalizes N=2 special geometry of N=2 theories. In all these theories duality symmetries are related to the notion of "flat symplectic bundles" and…

High Energy Physics - Theory · Physics 2016-10-26 L. Andrianopoli , R. D'Auria , S. Ferrara

Using basic ideas of simplectic geometry, we find the covariant canonically conjugate variables, the commutation relations and the Poincar\'e charges for chiral superconducting membranes (with null currents), as well as we find the stress…

Mathematical Physics · Physics 2008-10-04 Alberto Escalante

We initiate a study of finite temperature transport in gapless and strongly coupled quantum theories with charge and dipole conservation using gauge-gravity duality. In a model with non-dynamical gravity, the bulk fields of our model…

High Energy Physics - Theory · Physics 2020-12-29 Koushik Ganesan , Andrew Lucas

The membrane paradigm displays underlying connections between a timelike stretched horizon and a null boundary (such as a black hole horizon) and bridges the gravitational dynamics of the horizon with fluid dynamics. In this work, we…

General Relativity and Quantum Cosmology · Physics 2022-11-14 Laurent Freidel , Puttarak Jai-akson

We report on investigations of local (and non-local) charges in bosonic and supersymmetric principal chiral models in 1+1 dimensions. In the bosonic PCM there is a classically conserved local charge for each symmetric invariant tensor of…

High Energy Physics - Theory · Physics 2007-05-23 J. M. Evans , M. Hassan , N. J. MacKay , A. J. Mountain

In this paper we first show that within the Hamiltonian description of general relativity, the central charge of a near horizon asymptotic symmetry group is zero, and therefore that the entropy of the system cannot be estimated using…

High Energy Physics - Theory · Physics 2009-11-10 N. Pinamonti , L. Vanzo

A new local, covariant ``counter-term'' is used to construct a variational principle for asymptotically flat spacetimes in any spacetime dimension $ d \ge 4$. The new counter-term makes direct contact with more familiar background…

High Energy Physics - Theory · Physics 2009-11-11 Robert B. Mann , Donald Marolf