# Are all the asymptotic symmetries always infinite dimensional?

We know that the asymptotic symmetry of AdS$_3$ is the Virasoro symmetry, which is infinite dimensional. For flat spacetimes, the BMS group is also infinite dimensional. So are all the asymptotic symmetries always infinite dimensional? Can someone point out some reference that talks about this? Thank you!

• It's not a stupid question. – JamalS Oct 21 '17 at 1:07