The holographic supersymmetric Casimir energy

We consider a general class of asymptotically locally AdS(5) solutions of minimal gauged supergravity, which are dual to superconformal field theories on curved backgrounds S-1 x M-3 preserving two supercharges. We demonstrate that standard holographic renormalization corresponds to a scheme that breaks supersymmetry. We propose new boundary terms that restore supersymmetry, and show that for smooth solutions with topology S-1 x R-4 the improved on-shell action reproduces both the supersymmetric Casimir energy and the field theory supersymmetric relation between charges.