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

M. Günaydin, P. van Nieuwenhuizen, N. P. Warner

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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 - 1985

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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