Fuzzy Non-Trivial Gauge Configurations

Details Fuzzy Non-Trivial Gauge Configurations Fuzzy Non-Trivial Gauge Configurations

2001-08-11

arxiv.org/abs/hep-th/0108079v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages . Talk delivered in the MRST 2001 conference, University of Western Ontario, London, Ontario . To be published in the

Scientific paper

10.1063/1.1435489

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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