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 σ-model action for the two-sphere fulfilling a fuzzy Belavin–Polyakov bound is also put forth.
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Received: 13 April 1999 / Accepted: 7 August 1999
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Baez, S., Balachandran, A., Vaidya, S. et al. Monopoles and Solitons in Fuzzy Physics. Comm Math Phys 208, 787–798 (2000). https://doi.org/10.1007/s002200050011
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DOI: https://doi.org/10.1007/s002200050011