## Abstract

We construct the spectrum of the S^{4} compactification of d = 11 supergravity by simple algebraic methods. The spectrum consists of a special class of positive-energy unitary irreducible representations of the supergroup Osp(8^{*}/4) = Osp(6, 2 4), the so-called short supermultiplets. This paper shows how to obtain easily all such representations of the supergroup Osp( 8^{*} 4). We find that there is an ultra-short supermultiplet, the doubleton, which is analogous to the singleton of Osp( 8 4, R). The method described here can be used to obtain all positive-energy unitary supermultiplets of Osp( 8^{*} 4) and not just those that aise in the S^{4} compactification.

Original language | English (US) |
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Pages (from-to) | 63-92 |

Number of pages | 30 |

Journal | Nuclear Physics, Section B |

Volume | 255 |

Issue number | C |

DOIs | |

State | Published - 1985 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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