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

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 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

_{5}× S

^{5}.

*Nuclear Physics B*,

*534*(1-2), 96-120. https://doi.org/10.1016/S0550-3213(98)00543-4

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_{5}× S

^{5}',

*Nuclear Physics B*, vol. 534, no. 1-2, pp. 96-120. https://doi.org/10.1016/S0550-3213(98)00543-4

**4D doubleton conformal theories, CPT and IIB strings on AdS _{5} × S^{5}.** / Gunaydin, Murat; Minic, D.; Zagermann, M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - 4D doubleton conformal theories, CPT and IIB strings on AdS5 × S5

AU - Gunaydin, Murat

AU - Minic, D.

AU - Zagermann, M.

PY - 1998/11/23

Y1 - 1998/11/23

N2 - 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 AdS5 × S5. 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 AdS5. 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 AdS5. 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.

AB - 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 AdS5 × S5. 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 AdS5. 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 AdS5. 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.

UR - http://www.scopus.com/inward/record.url?scp=0032561644&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032561644&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(98)00543-4

DO - 10.1016/S0550-3213(98)00543-4

M3 - Article

AN - SCOPUS:0032561644

VL - 534

SP - 96

EP - 120

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -

_{5}× S

^{5}. Nuclear Physics B. 1998 Nov 23;534(1-2):96-120. https://doi.org/10.1016/S0550-3213(98)00543-4