Boundary Terms in Supergravity

The supergravity action is generically invariant under local supersymmetry only up to boundary terms. In the context of the AdS/CFT correspondence, the latter play an essential role when implementing the technique of holographic renormalization. We consider minimal N=2 gauged supergravity in four dimensions and study the holographic counterterms that ensure supersymmetry of the bulk + boundary supergravity action. This provides an explicit proof that holographic renormalization preserves supersymmetry in the considered setup.