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arXiv · 0712.0646

The instability of intersecting fuzzy spheres

Takehiro Azuma·Subrata Bal·Jun Nishimura
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Abstract

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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Takehiro Azuma, Subrata Bal, Jun Nishimura. 2008-02-15. The instability of intersecting fuzzy spheres. https://doi.org/10.1088/1126-6708%2F2008%2F03%2F035

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