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As a bonus, we also prove the unitarity of these series, since they are obtained by multiplying massless unitary multiplets.
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See also Ref. 29 for the description of a supersingleton related to ours by SO(8) triality. Superfield representations of other OSp(N/4) superalgebras have been considered in Refs. 56,57.
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77
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A formulation of the above multiplet in harmonic superspace has been proposed in Ref. 29. The harmonic coset used in Ref. 29 is Spin(8)/U(4). Although the supersingleton itself does indeed live in this smaller coset (see Sec. III B), its residual symmetry U(4) would not allow us to multiply different realizations of the supersingleton. For this reason we prefer from the very beginning to use the coset (3.13) with a minimal residual symmetry.
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