M5-brane in three-form flux and multiple M2-branes
M5-brane in three-form flux and multiple M2-branes
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DOI：
10.1088/1126-6708/2008/08/014
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发表时间：
2008-05
影响因子：
5.4
通讯作者：
P. Ho;Y. Imamura;Y. Matsuo;Shotaro Shiba
中科院分区：
文献类型：
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作者：
P. Ho;Y. Imamura;Y. Matsuo;Shotaro Shiba
我们研究了与Nambu-Poisson代数相关的Bagger-Lambert-Gustavsson模型作为一个描述单个M5-膜的理论。我们认为，该模型是一个规范理论与保体积的同态在三维内部空间。我们推导出规范变换、作用、超对称变换和六维场的运动方程。运动方程以规范协变形式表示，张量场方程具有明显的自对偶结构。我们证明了在具有小的非对易性参数的D4-膜上，模型的双维约化再现了非对易U（1）规范理论。我们建立了BLG模型中的参数和M理论中的参数之间的关系。这表明该模型描述了一个在大C场背景下的M5-膜。
We investigate the Bagger-Lambert-Gustavsson model associated with the Nambu-Poisson algebra as a theory describing a single M5-brane. We argue that the model is a gauge theory associated with the volume-preserving diffeomorphism in the three-dimensional internal space. We derive gauge transformations, actions, supersymmetry transformations, and equations of motions in terms of six-dimensional fields. The equations of motions are written in gauge-covariant form, and the equations for tensor fields have manifest self-dual structure. We demonstrate that the double dimensional reduction of the model reproduces the non-commutative U(1) gauge theory on a D4-brane with a small non-commutativity parameter. We establish relations between parameters in the BLG model and those in M-theory. This shows that the model describes an M5-brane in a large C-field background.