1998/11/30 by S. Baez, A. P. Balachandran, Sachindeo Vaidya +3 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories #gr-qc #hep-lat #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1007/s002200050011
published as Commun.Math.Phys. 208 (2000) 787-798 · 17 pages, Latex. Uses amstex, amssymb.Spelling of the name of one Author corrected. To appear in Commun.Math.Phys
arxiv created 1999/12/09 · openalex publication_date 2000/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.