Monopoles and Solitons in Fuzzy Physics

Details Monopoles and Solitons in Fuzzy Physics Monopoles and Solitons in Fuzzy Physics

1998-11-18

arxiv.org/abs/hep-th/9811169v6

Commun.Math.Phys. 208 (2000) 787-798

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex. Uses amstex, amssymb.Spelling of the name of one Author corrected. To appear in Commun.Math.Phys

Scientific paper

10.1007/s002200050011

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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