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

Murat Gunaydin, P. van Nieuwenhuizen, N. P. Warner

Research output: Contribution to journalArticle

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)63-92
Number of pages30
JournalNuclear Physics, Section B
Volume255
Issue numberC
DOIs
StatePublished - Jan 1 1985

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supergravity
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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abstract = "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.",
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General construction of the unitary representations of anti-de sitter superalgebras and the spectrum of the S4 compactification of 11-dimensional supergravity. / Gunaydin, Murat; van Nieuwenhuizen, P.; Warner, N. P.

In: Nuclear Physics, Section B, Vol. 255, No. C, 01.01.1985, p. 63-92.

Research output: Contribution to journalArticle

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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.

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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.

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