Unreasonable Effectiveness of Higher Derivative Supergravity in AdS4 Holography

We study four-derivative corrections to four-dimensional N = 2 minimal gauged supergravity controlled by two real constants. The solutions of the equations of motion in the two-derivative theory are not modified by the higher-derivative corrections. We use this to derive a general formula for the regularized on-shell action for any asymptotically locally AdS(4) solution of the theory and show how the higher-derivative corrections affect black hole thermodynamic quantities in a universal way. We employ our results in the context of holography to derive explicit expressions for the subleading corrections in the large N expansion of supersyrrunetric partition functions on various compact manifolds for a large class of three-dimensional SCFTs.