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Fuzzy Non-Trivial Gauge Configurations

Badis Ydri
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Abstract

In this talk we will report on few results of discrete physics on the fuzzy sphere . In particular non-trivial field configurations such as monopoles and solitons are constructed on fuzzy ${\bf S}^2$ using the language of K-theory, i.e projectors . As we will show, these configurations are intrinsically finite dimensional matrix models . The corresponding monopole charges and soliton winding numbers are also found using the formalism of noncommutative geometry and cyclic cohomology .

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Badis Ydri. 2001-08-11. Fuzzy Non-Trivial Gauge Configurations. https://doi.org/10.1063/1.1435489

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