Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking
Paolo Aschieri, Theodoros Grammatikopoulos, Harold Steinacker, George Zoupanos
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 S2. We explicitly find the tower of massive Kaluza-Klein modes consistent with an interpretation as gauge theory on M4 x 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) x SU(n2) x U(1), with mass scale determined by the size of the extra dimension.
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