Four-derivative corrections to minimal gauged supergravity in five dimensions

Abstract

Abstract We study four-derivative corrections to pure $$ \mathcal{N} $$ N = 2, D = 5 gauged supergravity. In particular, we find that, up to field redefinitions, there is a single four-derivative superinvariant that one can add to the action, up to factors of the two-derivative action. Consequently, this selects out a unique set of coefficients for the four-derivative corrections. We confirm these coefficients (in the ungauged limit) on the BMPV solution.