2002/06/10 by Paolo Valtancoli, P. VALTANCOLI · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1142/s0217751x03014058
published as Int.J.Mod.Phys. A18 (2003) 967 · 19 pages, LaTeX, no figures
arxiv created 2002/06/10 · openalex publication_date 2003/03/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider a matrix model depending on the parameter λ which permits the fuzzy sphere as a classical background. By expanding the bosonic matrices around this background one recovers a U(1) (U(n)) noncommutative gauge theory on the fuzzy sphere. To check the classical stability of this background, we look for new classical solutions of this model and find them for λ < 1, that make the fuzzy sphere solution unstable for [Formula: see text] and stable otherwise.