Dimensional reduction over fuzzy coset spaces

  title={Dimensional reduction over fuzzy coset spaces},
  author={Paolo Aschieri and John Madore and Pantelis Manousselis and George Zoupanos},
  journal={Journal of High Energy Physics},
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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