Abstract
The structure of unitary irreducible representations of the Lie superalgebra Osp (2,4), the algebra of N=2 extended supergravity, is investigated in detail. In particular, four new classes of shortened multiplets are found, and the complete unitarity conditions are given. The shortened multiplets are shown to correspond to atypical infinite-dimensional representations. Finally, unitarity conditions for Osp(N,4), 3≤N≤8, are constructed.
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