Supermembrane limit of Yang-Mills theory

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 ${\Sigma }_3\times S^1$, where ${\Sigma }_3$ 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.

1+6 pages

References in corpus (5)

• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Multiple Membranes in M-theory
• Sigma-model limit of Yang-Mills instantons in higher dimensions
• String theories as the adiabatic limit of Yang-Mills theory
• Green-Schwarz superstring as subsector of Yang-Mills theory

Cited by in corpus (3)

• Strolling along gauge theory vacua
• Superstring limit of Yang-Mills theories
• Existence of a Supersymmetric Massless Ground State of the $SU(N)$ Matrix Model globally on its Valleys