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arXiv 0807.0163hep-th
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三代数与N=6的Chern-Simons规范理论

Three-Algebras and N=6 Chern-Simons Gauge Theories

Jonathan Bagger, Neil Lambert

摘要:

本文导出了具有N=6超对称性、SU(4)R对称性和U(1)整体对称性的三维标度不变场论的一般形式。结果可以写成一个3-代数,其中三重积不是反对称的。对于一个特定的3-代数的选择,我们得到了N=6的理论,这些理论最近被提出作为R^8/Z_k轨道背景中的M2-膜的模型。

英文摘要:

We derive the general form for a three-dimensional scale-invariant field theory with N=6 supersymmetry, SU(4) R-symmetry and a U(1) global symmetry. The results can be written in terms of a 3-algebra in which the triple product is not antisymmetric. For a specific choice of 3-algebra we obtain the N=6 theories that have been recently proposed as models for M2-branes in an R^8/Z_k orbifold background.

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