Spacetime Structure of Massive Gravitinos

Abstract

The talk presents an ab initio construct of the spacetime structure underlying massive gravitinos. We argue that single spin interpretation of massive gravitino is untenable, and that a spin measurement in the rest frame for an unpolarized ensemble of massive gravitinos, would yield the results 3/2^- with probability one half, and 1/2 with probability one half. The latter is distributed uniformly, i.e. as 1/4, among the two spin-1/2^+ and spin-1/2^- states of opposite parities. From that we draw the conclusion that the massive gravitino should be interpreted as a particle of multiple spin. We expect that a extension of this work to finite-range gravity shall endow the graviton with spins 0, 1, and 2 components.