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• W3105190711 abstract "We consider SU(2)-equivariant dimensional reduction of Yang-Mills-Dirac theory on manifolds of the form M x CP(1), with emphasis on the effects of non-trivial magnetic flux on CP(1). The reduction of Yang-Mills fields gives a chain of coupled Yang-Mills-Higgs systems on M with a Higgs potential leading to dynamical symmetry breaking, as a consequence of the monopole fields. The reduction of SU(2)-symmetric fermions gives massless Dirac fermions on M transforming under the low-energy gauge group with Yukawa couplings, again as a result of the internal U(1) fluxes. The tower of massive fermionic Kaluza-Klein states also has Yukawa interactions and admits a natural SU(2)-equivariant truncation by replacing CP(1) with a fuzzy sphere. In this approach it is possible to obtain exactly massless chiral fermions in the effective field theory with Yukawa interactions, without any further requirements. We work out the spontaneous symmetry breaking patterns and determine the complete physical particle spectrum in a number of explicit examples." @default.
• W3105190711 created "2020-11-23" @default.
• W3105190711 creator A5006896283 @default.
• W3105190711 creator A5031946190 @default.
• W3105190711 date "2009-03-09" @default.
• W3105190711 modified "2023-10-17" @default.
• W3105190711 title "Dimensional reduction, monopoles and dynamical symmetry breaking" @default.
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• W3105190711 doi "https://doi.org/10.1088/1126-6708/2009/03/059" @default.
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