Supermembrane limit of Yang-Mills theory

We consider Yang-Mills theory with $N=1$ super translation group in eleven auxiliary dimensions as the structure group. The gauge theory is defined on a direct product manifold ${\mathrm{\Sigma }}_3\times S^1$, where ${\mathrm{\Sigma }}_3$ is a three-dimensional Lorentzian manifold and $S^1$ is a circle. We show that in the infrared limit, when the metric on $S^1$ is scaled down, the Yang-Mills action supplemented by a Wess-Zumino-type term reduces to the action of an M2-brane.