相交模糊球的不稳定性
The instability of intersecting fuzzy spheres
摘要：
我们讨论了在具有和不具有超对称性的降维Yang-Mills-Chern-Simons模型中代表许多模糊球的一般构型的经典和量子稳定性。通过对这类结构进行单圈微扰计算，我们发现在本文所研究的一类模型中，相交模糊球是经典不稳定的。我们还讨论了单圈有效作用量作为模糊球距离函数的大N极限。这表明，特别是，具有不同半径的同心模糊球，这是确定的't Hooft-Polyakov单极，是微扰稳定的玻色子模型和D = 10的超对称模型。
英文摘要：
We discuss the classical and quantum stability of general configurations representing many fuzzy spheres in dimensionally reduced Yang-Mills-Chern-Simons models with and without supersymmetry. By performing one-loop perturbative calculations around such configurations, we find that intersecting fuzzy spheres are classically unstable in the class of models studied in this paper. We also discuss the large-N limit of the one-loop effective action as a function of the distance of fuzzy spheres. This shows, in particular, that concentric fuzzy spheres with different radii, which are identified with the 't Hooft-Polyakov monopoles, are perturbatively stable in the bosonic model and in the D=10 supersymmetric model.
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