Monopoles and Solitons in Fuzzy Physics |
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| Authors: | S Baez A P Balachandran S Vaidya B Ydri |
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| Institution: | (1) Physics Department, Syracuse University, Syracuse, NY 13244-1130, USA, US;(2) Tata Institute of Fundamental Research, Colaba, Mumbai, 400 005, India, IN |
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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 σ-model action for the two-sphere fulfilling
a fuzzy Belavin–Polyakov bound is also put forth.
Received: 13 April 1999 / Accepted: 7 August 1999 |
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