arXiv 1409.06412014-09-02hep-th

超对称3-膜的壳作用分量I。3-D=6的膜

Component on shell actions of supersymmetric 3-brane I. 3-brane in D=6

S. Bellucci, N. Kozyrev, S. Krivonos, A. Sutulin

备注：: 14 pages, no figures, PACS: 11.30.Pb, 12.60.Jv, 11.25.-w
DOI：: 10.1088/0264-9381/32/3/035025

摘要：

在本论文和相关论文中，我们在非线性实现框架内，明确地构造了在D=6和D=8中运动的3-膜的壳层上超对称分量作用量。在第一篇论文中，我们应用我们的模式构造了D=6中超对称3-膜的作用。事实证明，通过使用非线性实现方法，几乎可以通过算法获得进入组分作用的所有成分。在这种方法中，适当地适应于壳上分量作用的构造，我们非常注意破缺的超对称性。这样，我们就能够用纯几何对象（维尔本因和协变的物理玻色子分量的导数）来描述作用量，这些对象相对于破缺的超对称性是协变的。事实证明，费米子中高阶的所有项，都隐藏在这些协变导数和维尔本中。此外，分量作用量的主要部分只是模仿它的玻色子表亲，其中普通的时空导数和玻色子世界体积被它们的协变超对称类似物所取代。作用量中的Wess-Zumino项，在玻色子情形中不存在，也可以很容易地用简化的Cartan形式构造。保持破缺的超对称性几乎是明确的，人们可以写分作用量的Ancestion，完全定义为两个常数参数。未破缺的超对称性的作用就是固定这些参数。

英文摘要：

In the present and accompanying papers we explicitly construct the on-shell supersymmetric component actions for 3-branes moving in D=6 and in D=8 within the nonlinear realizations framework. In the first paper we apply our schema to construct the action of supersymmetric 3-brane in D=6. It turns out that all ingredients entering the component action can be obtained almost algorithmically by using the nonlinear realizations approach. Within this approach, properly adapted to the construction of on-shell component actions, we pay much attention to broken supersymmetry. Doing so, we were able to write the action in terms of purely geometric objects (vielbeins and covariant derivatives of the physical bosonic components), covariant with respect to broken supersymmetry. It turns out that all terms of the higher orders in the fermions, are hidden inside these covariant derivatives and vielbeins. Moreover, the main part of the component action just mimics its bosonic cousin in which the ordinary space-time derivatives and the bosonic world volume are replaced by their covariant supersymmetric analogs. The Wess-Zumino term in the action, which does not exist in the bosonic case, can be also easily constructed in terms of reduced Cartan forms. Keeping the broken supersymmetry almost explicit, one may write the Ansatz for the component action, fully defined up to two constant parameters. The role of the unbroken supersymmetry is just to fix these parameters.

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