Abstract
Supersymmetric Rényi entropies are defined for three-dimensional N $$ \mathcal{N} $$ = 2 superconformal field theories on a branched covering of a three-sphere by using the localized partition functions. Under a conformal transformation, the branched covering is mapped to S 1 × H 2, whose gravity dual is the charged topological AdS4 black hole. The black hole can be embedded into four-dimensional N $$ \mathcal{N} $$ = 2 gauged supergravity where the mass and charge are related so that it preserves half of the supersymmetries. We compute the supersymmetric Rényi entropies with and without a certain type of Wilson loop operators in the gravity theory. We find they agree with those of the dual field theories in the large-N limit.