2007/12/31 by Takehiro Azuma, Subrata Bal, Jun Nishimura · 4 citations
Mathematics · Physics and Astronomy · #Artificial intelligence #Black Holes and Theoretical Physics #Combinatorics #Computer science #Cosmology and Gravitation Theories #Effective action #Fuzzy logic #Limit (mathematics) #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #SPHERES #Stability (learning theory) #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/03/035
published in Journal of High Energy Physics 2008(03), 035 (Springer Nature) · 13 pages, (v3) reference added and some arguments refined
arxiv created 2008/02/15 · openalex publication_date 2008/03/13 · arxiv updated 2011/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.