## Abstract

Minimal unitary representation of SO^{*}(8)~SO(6,2) realized over the Hilbert space of functions of five variables and its deformations labeled by the spin t of an SU(2) subgroup correspond to massless conformal fields in six dimensions as was shown in [S. Fernando, M. Gunaydin, arXiv:1005.3580]. In this paper we study the minimal unitary supermultiplet of OSp(8^{*}|2N) with the even subgroup SO^{*}(8)×USp(2N) and its deformations using quasiconformal methods. We show that the minimal unitary supermultiplet of OSp(8^{*}|2N) admits deformations labeled uniquely by the spin t of an SU(2) subgroup of the little group SO(4) of lightlike vectors in six dimensions. We construct the deformed minimal unitary representations and show that they correspond to massless 6. D conformal supermultiplets. The minimal unitary 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}×S^{4}. We study its deformations in further detail and show that they are isomorphic to the doubleton supermultiplets constructed by using twistorial oscillators.

Original language | English (US) |
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Pages (from-to) | 784-815 |

Number of pages | 32 |

Journal | Nuclear Physics B |

Volume | 843 |

Issue number | 3 |

DOIs | |

State | Published - Feb 21 2011 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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