Consistent Superalgebraic Truncations from D=5, N=5 Supergravity
Abstract
We study a novel five-dimensional, N=5 supergravity in the context of Lie superalgebra SU(5/2). The possible successive superalgebraic truncations from N=5 theory to the lower supersymmetric N=4,3,2, and 1 supergravity theories are systematically analyzed as a sub-superalgebraic chain of SU(5/2)⊃ SU(4/2) ⊃ SU(3/2) ⊃ SU(2/2) ⊃ SU(1/2) by using the Kac-Dynkin weight techniques.
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