Membranes, Strings and Integrability

Abstract

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.

6 pages, contribution to the proceedings of the 4th RTN meeting, Varna, Bulgaria, to be published in Fortschritte der Physik; v2,3: references added