We review the role that infinite-dimensional symmetries arising at the boundary of
asymptotically flat spacetimes play in the context of the celestial holography program. Once …

We review recent developments and applications of the classification of the Weyl tensor in
higher dimensional Lorentzian geometries. First, we discuss the general setup, ie main …

After a review of symmetries and classical solutions involved in the AdS 3/CFT 2
correspondence, we apply a similar analysis to asymptotically flat spacetimes at null infinity …

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Scattering amplitudes in d+ 2 dimensions can be expressed in terms of a conformal basis,
for which the S-matrix behaves as a CFT correlation function on the celestial d-sphere. We …

A bstract Assuming the existence of a field theory in D dimensions dual to (D+ 1)-
dimensional flat space, governed by the asymptotic symmetries of flat space, we make some …

A bstract We 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 …

We review recent results on symmetries of asymptotically flat spacetimes at null infinity. In
higher dimensions, the symmetry algebra realizes the Poincar\'e algebra. In three and four …

A bstract Conformal Carrollian groups are known to be isomorphic to Bondi-Metzner-Sachs
(BMS) groups that arise as the asymptotic symmetries at the null boundary of Minkowski …

We investigate the classical stability of higher-dimensional Schwarzschild black holes with
respect to linear perturbations in the framework of a gauge-invariant formalism for …