  Supersymmetric Renyi entropies are defined for three-dimensional 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 x H^2, whose gravity dual is the charged
topological AdS_4 black hole. The black hole can be embedded into
four-dimensional N=2 gauged supergravity where the mass and charge are related
so that it preserves half of the supersymmetries. We compute the supersymmetric
Renyi 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.
