The instability of intersecting fuzzy spheres

Details The instability of intersecting fuzzy spheres The instability of intersecting fuzzy spheres

2007-12-05

arxiv.org/abs/0712.0646v3

JHEP 0803:035,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, (v3) reference added and some arguments refined

Scientific paper

10.1088/1126-6708/2008/03/035

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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