Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-04
JHEP 0709:017,2007
Physics
High Energy Physics
High Energy Physics - Theory
34 pages. V2: references added, minor corrections V3: discussion added, final version
Scientific paper
10.1088/1126-6708/2007/09/017
We include fermions to the model proposed in hep-th/0606021, and obtain a renormalizable 4-dimensional SU(N) gauge theory which spontaneously generates fuzzy extra dimensions and behaves like Yang-Mills theory on M^4 \times S^2. We find a truncated tower of fermionic Kaluza-Klein states transforming under the low-energy gauge group, which is found to be either SU(n), or SU(n_1) x SU(n_2) x U(1). The latter case implies a nontrivial U(1) flux on S^2, leading to would-be zero modes for the bifundamental fermions. In the non-chiral case they may pair up to acquire a mass, and the emerging picture is that of mirror fermions. We discuss the possible implementation of a chirality constraint in 6 dimensions, which is nontrivial at the quantum level due to the fuzzy nature of the extra dimensions.
Steinacker Harold
Zoupanos George
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