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arXiv · hep-th/9811169

Monopoles and Solitons in Fuzzy Physics

S. Baez·A. P. Balachandran·S. Vaidya·B. Ydri
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Abstract

Monopoles and solitons have important topological aspects like quantized fluxes, winding numbers and curved target spaces. Naive discretizations which substitute a lattice of points for the underlying manifolds are incapable of retaining these features in a precise way. We study these problems of discrete physics and matrix models and discuss mathematically coherent discretizations of monopoles and solitons using fuzzy physics and noncommutative geometry. A fuzzy sigma-model action for the two-sphere fulfilling a fuzzy Belavin-Polyakov bound is also put forth.

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S. Baez, A. P. Balachandran, S. Vaidya, B. Ydri. 1999-12-09. Monopoles and Solitons in Fuzzy Physics. https://doi.org/10.1007/s002200050011

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