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In the first half of this note, after briefly motivating and reviewing membrane field theories, we discuss 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 discuss a test of AdS 4 /CFT 3  based on integrability. We discuss a numerical mismatch at one loop in worldsheet perturbation theory and its possible resolutions.

Membranes, strings and integrability