# Null boundary phase space: slicings, news & memory

@article{Adami2021NullBP, title={Null boundary phase space: slicings, news \& memory}, author={H. Adami and Daniel Grumiller and M. M. Sheikh-Jabbari and V. Taghiloo and Hossein Yavartanoo and C'eline Zwikel}, journal={Journal of High Energy Physics}, year={2021} }

Abstract
We construct the boundary phase space in D-dimensional Einstein gravity with a generic given co-dimension one null surface $$ \mathcal{N} $$
N
as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of $$ \mathcal{N} $$
N
and Weyl rescalings. It is generated by D towers of surface charges that are generic functions over $$ \mathcal{N} $$
N
. These surface charges can be rendered integrable for appropriate slicings of the phase space…

## 5 Citations

Boundary Conditions for Warped AdS$_3$ in Quadratic Ensemble

- Physics
- 2021

In the context of warped conformal field theories (WCFT), the derivation of the warped Cardy formula relies on the zero mode spectrum being bounded from below. Generically, this is not true for…

Higher spin dynamics in gravity and $w_{1 + \infty}$ celestial symmetries

- Physics
- 2021

In this paper we extract from a large-r expansion of the vacuum Einstein’s equations a dynamical system governing the time evolution of an infinity of higher-spin charges. Upon integration, we…

Celestial Klein Spaces

- Physics
- 2021

We consider the analytic continuation of (p + q)-dimensional Minkowski space (with p and q even) to (p, q)-signature, and study the conformal boundary of the resulting “Klein space”. Unlike the…

A canonical bracket for open gravitational system

- Physics
- 2021

This paper shows that the generalization of the Barnich-Troessaert bracket recently proposed to represent the extended corner algebra can be obtained as the canonical bracket for an extended…

Boundary Heisenberg Algebras and Their Deformations

- Physics, Mathematics
- 2021

We investigate the deformations and rigidity of boundary Heisenberg-like algebras. In particular, we focus on the Heisenberg and Heisenberg⊕witt algebras which arise as symmetry algebras in…

## References

SHOWING 1-10 OF 63 REFERENCES

Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere

- Physics
- 2017

The four-dimensional (4D) Lorentz group $SL(2,\mathbb{C})$ acts as the two-dimensional (2D) global conformal group on the celestial sphere at infinity where asymptotic 4D scattering states are…

Charge algebra in Al(A)dSn spacetimes

- Physics
- 2020

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…

Symmetries and charges of general relativity at null boundaries

- PhysicsJournal of High Energy Physics
- 2018

A bstractWe study general relativity at a null boundary using the covariant phase space formalism. We define a covariant phase space and compute the algebra of symmetries at the null boundary by…

Symplectic and Killing symmetries of AdS3 gravity: holographic vs boundary gravitons

- Physics
- 2016

A bstractThe set of solutions to the AdS3 Einstein gravity with Brown-Henneaux boundary conditions is known to be a family of metrics labeled by two arbitrary periodic functions, respectively left…

Spacetime Structure near Generic Horizons and Soft Hair.

- Physics, MedicinePhysical review letters
- 2020

The spacetime structure near nonextremal horizons in any spacetime dimension greater than two is explored and a wealth of novel results are discovered, including the first explicit near horizon realization of the Bondi-Metzner-Sachs algebra.

Soft Heisenberg hair on black holes in three dimensions

- Physics
- 2016

Three-dimensional Einstein gravity with negative cosmological constant admits stationary black holes that are not necessarily spherically symmetric. We propose boundary conditions for the near…

Covariant phase space with boundaries

- Physics
- 2019

The covariant phase space method of Iyer, Lee, Wald, and Zoupas gives an elegant way to understand the Hamiltonian dynamics of Lagrangian field theories without breaking covariance. The original…

Local subsystems in gauge theory and gravity

- Physics
- 2016

A bstractWe consider the problem of defining localized subsystems in gauge theory and gravity. Such systems are associated to spacelike hypersurfaces with boundaries and provide the natural setting…

Isolated surfaces and symmetries of gravity

- PhysicsPhysical Review D
- 2021

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

Brown-York charges at null boundaries

- PhysicsJournal of High Energy Physics
- 2022

The Brown-York stress tensor provides a means for defining quasilocal gravitational charges in subregions bounded by a timelike hypersurface. We consider the generalization of this stress tensor to…