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arXiv 1401.2613hep-th
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整体超对称性部分破缺的陪集方法

Coset approach to the partial breaking of global supersymmetry

S. Bellucci, S. Krivonos, A. Sutulin

备注：
31 pages, to appear in Breaking of supersymmetry and Ultraviolet Divergences in extended Supergravity Workshop, Proceedings of the INFN-Laboratori Nazionali di Frascati School 2013, Springer Heidelberg New York Dordrecht London, Springer Proceedings in Physics (2014), PACS: 11.30.Pb, 12.60.Jv
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摘要：

我们提出了一种方法来构造壳上的分量作用的理论与1/2部分破缺的整体超对称性的非线性实现（陪集）的方法。与标准超场方法中未破缺的超对称性起主导作用相反，我们将注意力转移到自发破缺的超对称性上。事实证明，在一半的超对称性自发破缺的理论中，所有的物理费米子都只是非线性实现的费米子。此外，这些费米子相对于破缺超对称的变换性质是相同的，在Alkov-Akulov模型。正是这一点完全固定了费米子在分作用量中的所有可能的出现：它们只能通过维尔拜因和协变导数的行列式进入作用量。在陪集的参数化中，其余的物理分量，即所有玻色子分量，都转换为关于破缺超对称的“物质场”。显然，分作用获得了这些“物质场”的阿古洛夫-阿库洛夫作用的形式。作用量的完全形式可以通过两个额外的要求进一步确定：a）再现玻色子极限，这在许多有趣的情况下是明确已知的; b）具有适当的线性化形式，它必须相对于线性化的未破缺超对称性不变。在某些情况下，额外的Wess-Zumino项（在玻色子极限中消失）必须添加到作用量中。我们通过D= 3，5中超粒子作用量，N=1，D=5超膜及其对偶表兄弟的壳层上分量作用量，以及D=4中N=1超膜的分量作用量的详细例子，给出了构造的分量作用量关于破缺和未破缺超对称的不变性的精确证明.

英文摘要：

We propose a method to construct on-shell component actions for theories with 1/2 partial breaking of global supersymmetry within the nonlinear realization (coset) approach. In contrast with the standard superfield approach in which unbroken supersymmetry plays the leading role, we have shifted the attention to the spontaneously broken supersymmetry. It turns out that in theories in which half of supersymmetries is spontaneously broken, all physical fermions are just the fermions of the nonlinear realization. Moreover, transformation properties of these fermions with respect to broken supersymmetry are the same as in the Volkov-Akulov model. Just this completely fixed all possible appearances of fermions in the component action: they can enter the action through the determinant of the vielbein and covariant derivatives, only. In our parametrization of the coset the rest of physical components, i.e. all bosonic components, transform as "matter fields" with respect to broken supersymmetry. Clearly, the component action acquires the form of the Volkov-Akulov action for these "matter fields". The complete form of the action can be further fixed by two additional requirements: a) to reproduce the bosonic limit, which is explicitly known in many interesting cases, and b) to have a proper linearized form, which has to be invariant with respect to linearized unbroken supersymmetry. In some cases additional Wess-Zumino terms (which disappear in the bosonic limit) have to be added to the action. We supply the general consideration by detailed examples of actions for the superparticle in D=3,5, the on-shell component action for N=1, D=5 supermembrane and its dual cousins and the component action of N=1 supermembrane in D=4, providing the exact proof of the invariance of the constructed component actions with respect to both broken and unbroken supersymmetries.

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