Consider a field theory coupled with gravity described by the action:
$S=\int d^Dx \sqrt{-g} \left( \mathcal{R}-\Lambda+\mathcal{L}_m[\phi] \right)$,
with the requirement that g must be asymptotically AdS.
Usually in AdS/CFT correspondence the action evaluated on-shell reduces to a purely boundary term.
Is there a general formula to express this boundary term?
This post imported from StackExchange Physics at 2014-03-07 13:46 (UCT), posted by SE-user Andrea Amoretti