Abstract
The Georgi-Glashow model leading to the 't Hooft-Polyakov monopole in the limit of vanishing Higgs self-interaction has a hidden symmetry whereby the Higgs field is the fifth component of the gauge potential and the electric charge the fifth component of four-momentum. The Higgs field can be “gauged away” at the expense of a dependence of gauge-dependent quantities upon x 5 . This dependence is periodic in vacuo, a situation reminiscent of Kaluza-Klein theory. Supersymmetrization of the model automatically introduces a sixth dimension whose conjugate momentum is the magnetic charge so that electromagnetic duality is generated by the 56 rotation. The six-dimensional formalism clarifies the universal mass formula, generalizing the Englert-Brout-Higgs-Kibble mechanism and applying to monopole solitons as well as gauge particles and other quantum excitations.
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