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arXiv · 1508.06325

Supermembrane limit of Yang-Mills theory

Olaf Lechtenfeld·Alexander D. Popov
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Abstract

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 $Σ_3\times S^1$, where $Σ_3$ 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.

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Olaf Lechtenfeld, Alexander D. Popov. 2015-08-25. Supermembrane limit of Yang-Mills theory. https://doi.org/10.1063/1.4942186

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