Abstract
In this paper we have established a superspace U for supergauge actions, constructed a conformal supergroup SU (2, 2|N) and a conformal extended SU (2, 2|N) supergravity theory. Using the Lagrangian Higgs evolution mechanism under the supergroup SU (2, 2|N) ⊗SU (N)actions on the superspace U, we have advanced a SU (2, 2|N) ⊗SU〈N’〉 superunified theory of a superunited system, discussed the Lagrangian evolution of the superunified theory, and given the fiber bundle geometry of all above mechanisms.
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