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 …

A bstract We extend the BMS (4) group by adding logarithmic supertranslations. This is done
by relaxing the boundary conditions on the metric and its conjugate momentum at spatial …

A bstract We develop the analysis of the asymptotic properties of gravity in higher spacetime
dimensions D, with a particular emphasis on the case D= 5. Our approach deals with spatial …

A bstract New boundary conditions for asymptotically flat spacetimes are given at spatial
infinity. These boundary conditions are invariant under the BMS group, which acts non …

These notes are a transcript of lectures given by the author in the XVIII Modave summer
school in mathematical physics. The introduction is devoted to a detailed review of the …

A bstract The coadjoint representation of the BMS group in four dimensions is constructed in
a formulation that covers both the sphere and the punctured plane. The structure constants …

We construct the Carrollian equivalent of the relativistic energy–momentum tensor, based on
variation of the action with respect to the elementary fields of the Carrollian geometry. We …

A bstract We analyse the asymptotic symmetries of Maxwell theory at spatial infinity through
the Hamiltonian formalism. Precise, consistent boundary conditions are explicitly given and …

We discuss an enhancement of the Brown-Henneaux boundary conditions in three-
dimensional AdS general relativity to encompass Weyl transformations of the boundary …

A bstract We present a new set of asymptotic conditions for gravity at spatial infinity that
includes gravitational magnetic-type solutions, allows for a non-trivial Hamiltonian action of …