Stability of the fuzzy sphere solution from matrix model

Abstract

We consider a matrix model depending on a parameter $\lambda$ which permits the fuzzy sphere as a classical background.By expanding the bosonic matrices around this background ones recovers a U(1) (U(n)) noncommutative gauge theory on the fuzzy sphere. To check classical stability of this background, we look for new classical solutions of this model and find them for $\lambda <1$, that make the fuzzy sphere solution unstable for $λ< \half$ and stable otherwise. \\

19 pages, LaTeX, no figures

References in corpus (4)

• Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model
• Noncommutative Gauge Theories on Fuzzy Sphere and Fuzzy Torus from Matrix Model
• Projectors for the fuzzy sphere
• Normalized Weyl-type $\star$-product on Kähler manifolds

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• Dolan-Grady Relations and Noncommutative Quasi-Exactly Solvable Systems
• Matrix Models
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• Projectors, matrix models and noncommutative monopoles
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• The instability of intersecting fuzzy spheres
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