SU(2,2\(| N)\cdot <N'>\) superunified theory (Q1082626)

We establish a superspace U for supergauge actions, 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\(| N)\otimes SU(N)\) acting on the superspace U, we advance an SU(2,2\(| N)\otimes SU<N'>\) superunified theory of a superunited system, discuss the Lagrangian evolution of the superunified theory, and give the fiber bundle geometry of all the above mechanisms.