Solitons for the fuzzy sphere from matrix model

Details Solitons for the fuzzy sphere from matrix model Solitons for the fuzzy sphere from matrix model

2002-09-13

arxiv.org/abs/hep-th/0209117v1

Int.J.Mod.Phys. A18 (2003) 1107-1124

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX, no figures

Scientific paper

10.1142/S0217751X03013636

Recently we have introduced a matrix model depending on two coupling constants $g^2$ and $\lambda$, which contains the fuzzy sphere as a background; to obtain the classical limit $g^2$ must depend on $N$ in a precise way. In this paper we show how to obtain the classical solitons of the $N \to \infty$ limit imposing the development $\lambda = \half + \frac{\lambda_0}{N}$; as a consequence at finite $N$ one obtains a noncommutative version of the solitons for the fuzzy sphere.

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