  In this paper, we introduce a representation theory of Hom-Lie conformal
superalgebras and discuss the cases of adjoint representations. Furthermore, we
develop cohomology theory of Hom-Lie conformal superalgebras and discuss some
applications to the study of deformations of regular Hom-Lie conformal
superalgebras. Finally, we introduce derivations of multiplicative Hom-Lie
conformal superalgebras and study their properties.
