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arXiv · hep-th/0606021

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

Paolo Aschieri·Theodoros Grammatikopoulos·Harold Steinacker·George Zoupanos
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Abstract

We present a renormalizable 4-dimensional SU(N) gauge theory with a suitable multiplet of scalar fields, which dynamically develops extra dimensions in the form of a fuzzy sphere S^2. We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on M^4 x S^2, the scalars being interpreted as gauge fields on S^2. 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(n_1) x SU(n_2) x U(1), with mass scale determined by the size of the extra dimension.

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Paolo Aschieri, Theodoros Grammatikopoulos, Harold Steinacker, George Zoupanos. 2006-08-21. Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking. https://doi.org/10.1088/1126-6708%2F2006%2F09%2F026

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