Self-dual strings and 2D SYM

We study the system of M2-branes suspended between parallel M5-branes using ABJM model with a natural half-BPS boundary condition. For small separation between M5-branes, the worldvolume theory is shown to reduce to a 2D N = 4 4 $$ \mathcal{N}=\left(4,4\right) $$ super Yang-Mills theory with some similarity to q -deformed Yang-Mills theory. The gauge coupling is related to the position of the branes in an interesting manner. The theory is considerably different from the 2D theory proposed for multiple “M-strings”. We make a detailed comparison of elliptic genus of the two descriptions and find only a partial agreement