### 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) |
---|---|

Pages (from-to) | 63-92 |

Number of pages | 30 |

Journal | Nuclear Physics, Section B |

Volume | 255 |

Issue number | C |

DOIs | |

State | Published - Jan 1 1985 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

^{4}compactification of 11-dimensional supergravity.

*Nuclear Physics, Section B*,

*255*(C), 63-92. https://doi.org/10.1016/0550-3213(85)90129-4

}

^{4}compactification of 11-dimensional supergravity',

*Nuclear Physics, Section B*, vol. 255, no. C, pp. 63-92. https://doi.org/10.1016/0550-3213(85)90129-4

**General construction of the unitary representations of anti-de sitter superalgebras and the spectrum of the S ^{4} compactification of 11-dimensional supergravity.** / Gunaydin, Murat; van Nieuwenhuizen, P.; Warner, N. P.

Research output: Contribution to journal › Article

TY - JOUR

T1 - General construction of the unitary representations of anti-de sitter superalgebras and the spectrum of the S4 compactification of 11-dimensional supergravity

AU - Gunaydin, Murat

AU - van Nieuwenhuizen, P.

AU - Warner, N. P.

PY - 1985/1/1

Y1 - 1985/1/1

N2 - We construct the spectrum of the S4 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 S4 compactification.

AB - We construct the spectrum of the S4 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 S4 compactification.

UR - http://www.scopus.com/inward/record.url?scp=0002912815&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002912815&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(85)90129-4

DO - 10.1016/0550-3213(85)90129-4

M3 - Article

AN - SCOPUS:0002912815

VL - 255

SP - 63

EP - 92

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - C

ER -

^{4}compactification of 11-dimensional supergravity. Nuclear Physics, Section B. 1985 Jan 1;255(C):63-92. https://doi.org/10.1016/0550-3213(85)90129-4