  We compute the exact partition function on the branched two-sphere by the
localization technique. It is found that it does not depend on a branching
parameter q, which means that supersymmetric R\'enyi entropy defined by
utilizing it is equivalent to the usual entanglement entropy. We also provide
the interpretation of the conical singularities on the branched sphere as
defects sit on the poles of the nonsingular two-sphere.
