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Solitons for the fuzzy sphere from matrix model

Paolo Valtancoli
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Abstract

Recently we have introduced a matrix model depending on two coupling constants $g^2$ and $λ$, 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 $λ= \half + \frac{λ_0}{N}$; as a consequence at finite $N$ one obtains a noncommutative version of the solitons for the fuzzy sphere.

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Paolo Valtancoli. 2002-09-13. Solitons for the fuzzy sphere from matrix model. https://doi.org/10.1142/s0217751x03013636

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