arXiv 1402.35292014-02-14hep-thhep-ph

五维空间中的自对偶张量与部分超对称破缺

Self-Dual Tensors and Partial Supersymmetry Breaking in Five Dimensions

Thomas W. Grimm, Andreas Kapfer

备注：: 33 pages
DOI：: 10.1007/JHEP03(2015)008

摘要：

我们研究了Minkowski真空中从16到8个超荷的五维超引力理论的自发超对称破缺。这个N=4到N=2的破缺是由阿贝尔规范引起的，阿贝尔规范需要引入伴随着重力多重态和向量多重态中的向量的自对偶张量场。这些张量场具有一阶动力学项，并且可以通过类施图克尔堡机制变得有质量。我们确定的一般类N=2真空，并显示如何N=4的频谱分裂成无质量和大量的N=2多重态。特别是，我们发现了一个巨大的引力子多重态，包含两个复杂的大质量张量，和一些大质量张量多重态和超多重态。我们确定由此产生的N=2的有效行动的无质量多重态通过整合出大规模的领域。我们表明，度规和陈-西蒙斯项的矢量校正在一个循环的大规模张量以及自旋1/2和自旋3/2费米子。这些贡献是独立的超光速破缺标度，因此必须包括在任意低的能量。

英文摘要：

We study spontaneous supersymmetry breaking of five-dimensional supergravity theories from sixteen to eight supercharges in Minkowski vacua. This N=4 to N=2 breaking is induced by Abelian gaugings that require the introduction of self-dual tensor fields accompanying the vectors in the gravity multiplet and vector multiplets. These tensor fields have first-order kinetic terms and can become massive by a Stueckelberg-like mechanism. We identify the general class of N=2 vacua and show how the N=4 spectrum splits into massless and massive N=2 multiplets. In particular, we find a massive gravitino multiplet, containing two complex massive tensors, and a number of massive tensor multiplets and hypermultiplets. We determine the resulting N=2 effective action for the massless multiplets obtained by integrating out massive fields. We show that the metric and Chern-Simons terms of the vectors are corrected at one-loop by massive tensors as well as spin-1/2 and spin-3/2 fermions. These contributions are independent of the supersymmetry-breaking scale and thus have to be included at arbitrarily low energies.

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