Dimensional Reduction over Fuzzy Coset Spaces

Details Dimensional Reduction over Fuzzy Coset Spaces Dimensional Reduction over Fuzzy Coset Spaces

2003-10-08

arxiv.org/abs/hep-th/0310072v3

JHEP 0404 (2004) 034

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 23 pages, 1 reference added, 1 reference updated. Final version, improved presentation and organization of the paper, i

Scientific paper

10.1088/1126-6708/2004/04/034

We examine gauge theories on Minkowski space-time times fuzzy coset spaces. This means that the extra space dimensions instead of being a continuous coset space S/R are a corresponding finite matrix approximation. The gauge theory defined on this non-commutative setup is reduced to four dimensions and the rules of the corresponding dimensional reduction are established. We investigate in particular the case of the fuzzy sphere including the dimensional reduction of fermion fields.

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