Abstract :
A superconnection is a supermatrix whose even part contains the gauge-potential one-forms of a local gauge group, while the odd parts contain the (0-form) Higgs fields. We demonstrate that the simple supergroup P̄(4,R) (rank=3) in Kacʹ classification (even subgroup SL(4,R)) provides for the most economical spontaneous breaking of SL(4,R) as gauge group, leaving just local SO(1,3) unbroken. As a result, post-Riemannian SKY gravity is made to yield Einsteinʹs theory as a low-energy (longer range) effective theory.
