  The problem of classifying all short multiplets of superconformal algebras
still seems to be an open question. A generic short multiplet is non-unitary,
which nevertheless is of interest in various contexts. Even if one is
interested in unitarity theories only, non-unitary short multiplets are of use
in the analysis of (super)conformal blocks. The classification problem is
mathematically formulated in terms of the representation theory of parabolic
Verma modules, whose theory is known to be more challenging than that of more
standard Verma modules associated with the Borel subalgebra. We comment on some
recent developments of the representation theory, which could be of help in
solving the classification problem.
