Stability of the fuzzy sphere solution from matrix model

Details Stability of the fuzzy sphere solution from matrix model Stability of the fuzzy sphere solution from matrix model

2002-06-10

arxiv.org/abs/hep-th/0206075v1

Int.J.Mod.Phys. A18 (2003) 967

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX, no figures

Scientific paper

10.1142/S0217751X03014058

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 $\lambda < \half$ and stable otherwise. \\

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