Monopoles and Solitons in Fuzzy Physics
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 σmodel action for the twosphere fulfilling a fuzzy BelavinPolyakov bound is also put forth.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2000
 DOI:
 10.1007/s002200050011
 arXiv:
 arXiv:hepth/9811169
 Bibcode:
 2000CMaPh.208..787B
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Lattice;
 Mathematical Physics;
 Mathematics  Quantum Algebra
 EPrint:
 17 pages, Latex. Uses amstex, amssymb.Spelling of the name of one Author corrected. To appear in Commun.Math.Phys