We study type IIB supergravity solutions that are dual to two-dimensional
superconformal defects in d = 4 SCFTs which preserve N = (0, 2) supersymmetry. We
consider solutions dual to defects in N = 4 SYM theory that have non-trivial monodromy for
U(1)3 ⊂ SO(6) global symmetry and we also allow for the possibility of conical singularities.
In addition, we consider the addition of fermionic and bosonic mass terms that have non
trivial dependence on the spatial directions transverse to the defect, while preserving the
superconformal symmetry of the defect. We compute various physical quantities including the
central charges of the defect expressed as a function of the monodromy, the on-shell action as
well as associated supersymmetric Rényi entropies. Analogous computations are carried out
for superconformal defects in the N = 1, d = 4 Leigh-Strassler SCFT. We also show that
the defects of the two SCFTs are connected by a line of bulk marginal mass deformations
and argue that they are also related by bulk RG fow.