  In this paper, we will calculate the effective potential for a theory of
multiple M2-branes. As the theory of multiple M2-branes can be described by a
Chern-Simons-matter theory, this will be done by calculating the K\"ahlerian
effective potential for a Chern-Simons-matter theory. This calculation will be
performed in $\mathcal{N} = 1$ superspace formalism. We will initially study an
Abelian Chern-Simons-matter theory, and then generalize those results to the
full non-Abelian Chern-Simons-matter theory. We will obtain explicit
expressions for the superpropagators for this theory. These superpropagators
will be used to calculate the one-loop effective potential.
