## Abstract

The spectrum of the S^{7} compactification of 11-dimensional supergravity is constructed very simply by using the oscillator method. The spectrum consists of a special class of positive energy unitary irreducible representations (UIR's) of the N = 8 anti-de Sitter supergroup OSp( 8 4, R). This class of UIR's correspond to the short supermultiplets whose spin range is 2. The ultra-short supermultiplet, the singleton, whose spin range is 1 2 has no Poincaré limit and does not occur in the spectrum. The method described here can be used to obtain all positive energy unitary supermultiplets of OSp( 8 4, R) and not just those that arise in the S^{7} compactification. In addition, the oscillator method can be used to obtain the positive energy UIR's of the non-compact supergroups OSp( 2n 2m, R), OSp( 2n^{*} 2m) and SU(n, m p).

Original language | English (US) |
---|---|

Pages (from-to) | 99-124 |

Number of pages | 26 |

Journal | Nuclear Physics, Section B |

Volume | 272 |

Issue number | 1 |

DOIs | |

State | Published - Jul 14 1986 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Fingerprint

Dive into the research topics of 'Unitary supermultiplets of OSp( 8 4, R) and the spectrum of the S^{7}compactification of 11-dimensional supergravity'. Together they form a unique fingerprint.