Abstract
In the second of this series of papers we study the six principal discrete series of unitary irreducible representations of SU(2,2). The same techniques are used as before, except that to examine the reducibility we are forced to use complexifications of all of our spaces. It is found that when restricted to the Poincaré group, two of the series contain only timelike momenta—with positive and negative masses, respectively — and a finite number of spins; the remaining four series contain spacelike momenta and spins which allow a certain helicity. A point of interest is that these two classes require entirely different scalar products.
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