Multiple membranes in M-theory
Multiple membranes in M-theory
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DOI：
10.1016/j.physrep.2013.01.006
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发表时间：
2012-03
期刊：
影响因子：
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通讯作者：
J. Bagger;N. Lambert;S. Mukhi;C. Papageorgakis
中科院分区：
文献类型：
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作者：
J. Bagger;N. Lambert;S. Mukhi;C. Papageorgakis
我们回顾了M-理论中多层平行膜理论的发展。在讨论了构造具有适当场含量和对称性的极大超对称拉格朗日算子的内在困难之后，我们引入了3-代数，并展示了它们如何允许这样的描述。3-代数的不同选择导致具有不同超对称度的2+1维理论的不同类别。然后，我们证明了这些理论在k能级等价于传统的超共形Chern-Simons规范理论，但具有双基态物质。通过对这些理论的物理性质的分析，得到了Zkorbilold上具有M2膜构型的模型的某一子类的识别。这些模型以AdS4/CFT3对应的形式产生了一个全新的规范/引力对偶。我们还讨论了质量形变、高阶导数修正以及提取有关M5膜物理信息的可能性。
We review developments in the theory of multiple, parallel membranes in M-theory. After discussing the inherent difficulties with constructing a maximally supersymmetric lagrangian with the appropriate field content and symmetries, we introduce 3-algebras and show how they allow for such a description. Different choices of 3-algebras lead to distinct classes of 2+1 dimensional theories with varying degrees of supersymmetry. We then demonstrate that these theories are equivalent to conventional superconformal Chern–Simons gauge theories at level k, but with bifundamental matter. Analysing the physical properties of these theories leads to the identification of a certain subclass of models with configurations of M2-branes on Zkorbifolds. These models give rise to a whole new gauge/gravity duality in the form of an AdS4/CFT3correspondence. We also discuss mass deformations, higher derivative corrections, and the possibility of extracting information about M5-brane physics.