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Continuous spin representations of the Poincaré and super-Poincaré groups

Continuous spin representations of the Poincaré and super-Poincaré groups

We construct Wigner’s continuous spin representations of the Poincaré algebra for massless particles in higher dimensions. The states are labeled both by the length of a spacelike translation vector and the Dynkin indices of the short little group SO(d−3), where d is the space–time dimension. Continuous spin representations are in …