Fermions on spontaneously generated spherical extra dimensions

dc.creatorSteinacker, Harold
dc.creatorZoupanos, George
dc.date2007-06-04
dc.date2007-08-23
dc.date.accessioned2026-07-07T13:04:26Z
dc.date.available2026-07-07T13:04:26Z
dc.descriptionWe 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.
dc.description34 pages. V2: references added, minor corrections V3: discussion added, final version
dc.identifierhttps://arxiv.org/abs/0706.0398
dc.identifierhttp://arxiv.org/abs/0706.0398
dc.identifierJHEP 0709:017,2007
dc.identifierdoi:10.1088/1126-6708/2007/09/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227163
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleFermions on spontaneously generated spherical extra dimensions
dc.typetext

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