## Abstract

We study the unitary supermultiplets of the script N = 8 d = 5 anti-de Sitter (AdS) superalgebra SU(2, 2\4) which is the symmetry algebra of the IIB string theory on AdS_{5} × S^{5}. We give a complete classification of the doubleton supermultiplets of SU(2, 2|4) which do not have a Poincaré limit and correspond to d = 4 conformal field theories (CFT) living on the boundary of AdS_{5}. The CPT self-conjugate irreducible doubleton supermultiplet corresponds to d = 4 script N = 4 super Yang-Mills theory. The other irreducible doubleton supermultiplets come in CPT conjugate pairs. The maximum spin range of the general doubleton supermultiplets is 2. In particular, there exists a CPT conjugate pair of doubleton supermultiplets corresponding to the fields of script N = 4 conformal supergravity in d = 4 which can be coupled to script N = 4 super Yang-Mills theory in d = 4. We also study the "massless" supermultiplets of SU(2, 2|4) which can be obtained by tensoring two doubleton supermultiplets. The CPT self-conjugate "massless" supermultiplet is the script N = 8 graviton supermultiplet in AdS_{5}. The other "massless" supermultiplets generally come in conjugate pairs and can have maximum spin range of 4. We discuss the implications of our results for the conjectured CFT/AdS dualities.

Original language | English (US) |
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Pages (from-to) | 96-120 |

Number of pages | 25 |

Journal | Nuclear Physics B |

Volume | 534 |

Issue number | 1-2 |

DOIs | |

State | Published - Nov 23 1998 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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