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Minimal unitary representation of SO*(8) = SO(6,2) realized over the Hilbertspace of functions of five variables and its deformations labeled by the spin tof an SU(2) subgroup correspond to massless conformal fields in six dimensionsas was shown in arXiv:1005.3580. In this paper we study the minimal unitarysupermultiplet of OSp(8*|2N) with the even subgroup SO*(8) x USp(2N) and itsdeformations using quasiconformal methods. We show that the minimal unitarysupermultiplet of OSp(8*|2N) admits deformations labeled uniquely by the spin tof an SU(2) subgroup of the little group SO(4) of lightlike vectors in sixdimensions. We construct the deformed minimal unitary representations and showthat they correspond to massless 6D conformal supermultiplets. The minimalunitary supermultiplet of OSp(8*|4) is the massless supermultiplet of (2,0)conformal field theory that is believed to be dual to M-theory on AdS_7 x S^4.We study its deformations in further detail and show that they are isomorphicto the doubleton supermultiplets constructed by using twistorial oscillators.

SU(2) deformations of the minimal unitary representation of OSp(8*|2N) as massless 6D conformal supermultiplets