  In the first half of this note, after briefly motivating and reviewing
membrane field theories, we consider their BPS funnel solutions. We discuss
some aspects of embedding M-theory fuzzy funnels in these theories. In the
second half, we focus on ABJM theory and explain a test of AdS4/CFT3 based on
integrability. We discuss a numerical mismatch at one loop in worldsheet
perturbation theory and its possible resolutions.
