Asymptotic symmetries and geometry on the boundary in the first order formalism

Understand

Proper understanding of the geometry on the boundary of a spacetime is a critical step on the way to extending holography to spaces with non-AdS asymptotics.

• In general the boundary cannot be described in terms of the Riemannian geometry and the first order formalism is more appropriate as we show.
• We analyze the asymptotic symmetries in the first order formalism for large classes of theories on AdS, Lifshitz or flat space.
• In all cases the asymptotic symmetry algebra is realized on the first order variables as a gauged symmetry algebra.