Dimensional reduction over fuzzy coset spaces

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Published 19 April 2004 • Published under licence by IOP Publishing Ltd
, , Citation Paolo Aschieri et al JHEP04(2004)034 DOI 10.1088/1126-6708/2004/04/034

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Author affiliations

1 Dipartimento di Scienze e Tecnologie Avanzate, Universitá del Piemonte Orientale and INFN, Corso Borsalino 54, I-15100, Alessandria, Italy

2 Max-Planck-Institut für Physik, Föhringer Ring 6, D-80805 München, Germany

3 Sektion Physik, Universität München, Theresienstraße 37, D-80333 München, Germany

4 Laboratoire de Physique Théorique, Université de Paris-Sud, Bâtiment 211, F-91405 Orsay, France

5 Physics Department National Technical University, Zografou Campus, GR-15780 Athens, Greece

6 Theory Division, CERN, CH-1211, Geneva 23, Switzerland

Dates

  1. Received 17 October 2003
  2. Accepted 14 April 2004
  3. Published

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1126-6708/2004/04/034

Abstract

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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10.1088/1126-6708/2004/04/034