Higher derivative corrections to R-charged AdS(5) black holes and field redefinitions

We consider four-derivative corrections to the bosonic sector of five-dimensional $\mathcal{N}=2$ gauged supergravity. Since this theory includes the $\mathcal{N}=2$ graviphoton, we consider both curvature and graviphoton field-strength terms that show up at the four-derivative level. We construct, to linear order, the higher-derivative corrections to the nonrotating $R$-charged ${\mathrm{AdS}}_{5}$ black hole and demonstrate how this solution transforms under field redefinitions.