  The coefficients of the membrane instantons in the ABJM theory are known to
be quadratic polynomials of the chemical potential. We show that, after
deforming the ABJM theory into more general superconformal Chern-Simons
theories labelled by (q,p) where the original ABJM theory corresponds to
(q,p)=(1,1), we can decompose the membrane instanton into three types of
non-perturbative effects with constant coefficients independent of the chemical
potential. We find that, although these constants contain poles at certain
values of q and p including the ABJM case, all of the poles cancel among
themselves and the finite quadratic polynomial coefficients are reproduced at
these values. This is similar to what happens between the membrane instantons
and the worldsheet instantons in the ABJM theory.
