M2-Branes的周期阵列
Periodic Arrays of M2-Branes
摘要：
我们本着IIA型弦论中D2-膜的圆紧化的精神考虑ABJM模型中M2-膜的周期阵列。其结果是一个奇怪的公式的三维最大超对称杨米尔斯理论的费米子，七个横向标量，一个非动力学的规范场和一个额外的标量“对偶胶子”。在进一步的T-对偶上，我们得到了五维最大超对称杨-米尔斯的一个非显洛伦兹不变描述。这里附加的标量场可以被认为是沿着环面的二形式的分量。这个作用可以看作是${\mathbb T}^3$上M5-膜的M-理论描述。
英文摘要：
We consider periodic arrays of M2-branes in the ABJM model in the spirit of a circle compactification to D2-branes in type IIA string theory. The result is a curious formulation of three-dimensional maximally supersymmetric Yang-Mills theory in terms of fermions, seven transverse scalars, a non-dynamical gauge field and an additional scalar `dual gluon'. Upon further T-duality on a transverse torus we obtain a non-manifest-Lorentz-invariant description of five-dimensional maximally supersymmetric Yang-Mills. Here the additional scalar field can be thought of as the components of a two-form along the torus. This action can be viewed as an M-theory description of M5-branes on ${\mathbb T}^3$.
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