Eight-dimensional,N=1supergravity with SU(4/1) hidden supersymmetry

Abstract

We describe D =8, N = 1 supergravity with an SUi4/1) superalgebra which is a supersymmetric version of SO(6)sUi I). Possible supermultiplets agree with typical representations of SU(4/1). Furthermore Ui1) supercharges are automatically determined by just demanding that the representation is real. Dimensional reductions to the D =7, N = 2 and D = 6 . N = 2 theories are described by using branching rules of SUi4/1).