  We study global subalgebras of superconformal algebras in two dimensions and
their unitary representations. Global superconformal multiplets are decomposed
into conformal multiplets using Racah-Speiser algorithm, revealing many
essential aspects of superconformal theories such as stress-energy tensor,
conserved current, supersymmetric deformation and supersymmetry enhancement.
Character formulae for the representations are presented. We further find a
collection of conserved charges that are $k$-forms under the R-symmetry, which
must be part of the super Virasoro algebra with $\mathcal{N} \geq 3$
supersymmetries.
