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… 

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References

SHOWING 1-10 OF 63 REFERENCES
Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
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
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
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
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.
TLDR
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
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
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
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
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
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
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