TL;DR
This paper reviews the origins of the 11-dimensional supermembrane and discusses how its field theory limit in a hyper-Kähler background results in a 3D sigma-model with N=4 supersymmetry, which is often broken to N=3 by higher-order fermion interactions.
Contribution
It highlights the specific supersymmetry properties of the supermembrane's field theory limit and the effects of fermion interactions on supersymmetry breaking.
Findings
The supermembrane's field theory limit is a 3D sigma-model with N=4 supersymmetry.
Higher-order fermion interactions typically break N=4 to N=3 supersymmetry.
The origins and properties of the 11D supermembrane are clarified.
Abstract
The origins of the 11-dimensional supermembrane are recalled, and a curious property is discussed: the field theory limit of a supermembrane in a hyper-K\"ahler background is a 3-dimensional sigma-model with N=4 supersymmetry, but the higher-order fermion interactions of the supermembrane generically break this to N=3.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Quantum and Classical Electrodynamics