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Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking

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Published 11 September 2006 • Published under licence by IOP Publishing Ltd
, , Citation Paolo Aschieri et al JHEP09(2006)026 DOI 10.1088/1126-6708/2006/09/026

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

3 Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria

Dates

  1. Received 23 June 2006
  2. Accepted 16 August 2006
  3. Published

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1126-6708/2006/09/026

Abstract

We present a renormalizable 4-dimensional SU(Script N) gauge theory with a suitable multiplet of scalar fields, which dynamically develops extra dimensions in the form of a fuzzy sphere S2N. We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on M4 × S2, the scalars being interpreted as gauge fields on S2. The gauge group is broken dynamically, and the low-energy content of the model is determined. Depending on the parameters of the model the low-energy gauge group can be SU(n), or broken further to SU(n1) × SU(n2) × U(1), with mass scale determined by the size of the extra dimension.

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10.1088/1126-6708/2006/09/026