Compactification with U(1) magnetic field within Dirac supersymmetry
Abstract
We consider Dirac-supersymmetric interactions, which produce CP-conserving separation of positive and negative energy solutions in the Dirac equation in order to investigate an alternative to the Kaluza-Klein mechanism. We review conditions under which separation is possible into free particle and compactified behaviors in different dimensions, with attention to spin degrees of freedom. We show a U(1) constant magnetic field produces such kind of behavior; an explicit treatment is given to the 6-d to 4-d and 4-d to 2-d breaking cases and the spectrum is obtained. A dynamical mass-creation mechanism is suggested from the procedure.
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