### Abstract

We study the positive energy unitary representations of 2N extended superconformal algebras OSp(8*2N) in six dimensions. These representations can be formulated in a particle basis or a supercoherent state basis, which are labeled by the superspace coordinates in d = 6. We show that the supercoherent states that form the bases of positive energy representations of OSp(8*2N) can be identified with conformal superfields in six dimensions. The massless conformal superfields correspond precisely to the ultra short doubleton supermultiplets of OSp (8*2N). The other positive energy unitary representations correspond to massive conformal superfields in six dimensions and they can be obtained by tensoring an arbitrary number of doubleton supermultiplets with each other. The supermultiplets obtained by tensoring two copies of the doubletons correspond to massless anti-de-Sitter supermultiplets in d = 7.

Original language | English (US) |
---|---|

Pages (from-to) | 79-111 |

Number of pages | 33 |

Journal | Nuclear Physics B |

Volume | 628 |

Issue number | 1-2 |

DOIs | |

State | Published - Apr 29 2002 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

_{7}/CFT

_{6}duality.

*Nuclear Physics B*,

*628*(1-2), 79-111. https://doi.org/10.1016/S0550-3213(02)00076-7

}

_{7}/CFT

_{6}duality',

*Nuclear Physics B*, vol. 628, no. 1-2, pp. 79-111. https://doi.org/10.1016/S0550-3213(02)00076-7

**Supercoherent states of OSp(8*/2N), conformal superfields and the AdS _{7}/CFT_{6} duality.** / Fernando, Sudarshan; Gunaydin, Murat; Takemae, Seiji.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Supercoherent states of OSp(8*/2N), conformal superfields and the AdS7/CFT6 duality

AU - Fernando, Sudarshan

AU - Gunaydin, Murat

AU - Takemae, Seiji

PY - 2002/4/29

Y1 - 2002/4/29

N2 - We study the positive energy unitary representations of 2N extended superconformal algebras OSp(8*2N) in six dimensions. These representations can be formulated in a particle basis or a supercoherent state basis, which are labeled by the superspace coordinates in d = 6. We show that the supercoherent states that form the bases of positive energy representations of OSp(8*2N) can be identified with conformal superfields in six dimensions. The massless conformal superfields correspond precisely to the ultra short doubleton supermultiplets of OSp (8*2N). The other positive energy unitary representations correspond to massive conformal superfields in six dimensions and they can be obtained by tensoring an arbitrary number of doubleton supermultiplets with each other. The supermultiplets obtained by tensoring two copies of the doubletons correspond to massless anti-de-Sitter supermultiplets in d = 7.

AB - We study the positive energy unitary representations of 2N extended superconformal algebras OSp(8*2N) in six dimensions. These representations can be formulated in a particle basis or a supercoherent state basis, which are labeled by the superspace coordinates in d = 6. We show that the supercoherent states that form the bases of positive energy representations of OSp(8*2N) can be identified with conformal superfields in six dimensions. The massless conformal superfields correspond precisely to the ultra short doubleton supermultiplets of OSp (8*2N). The other positive energy unitary representations correspond to massive conformal superfields in six dimensions and they can be obtained by tensoring an arbitrary number of doubleton supermultiplets with each other. The supermultiplets obtained by tensoring two copies of the doubletons correspond to massless anti-de-Sitter supermultiplets in d = 7.

UR - http://www.scopus.com/inward/record.url?scp=0037193061&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037193061&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(02)00076-7

DO - 10.1016/S0550-3213(02)00076-7

M3 - Article

AN - SCOPUS:0037193061

VL - 628

SP - 79

EP - 111

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -

_{7}/CFT

_{6}duality. Nuclear Physics B. 2002 Apr 29;628(1-2):79-111. https://doi.org/10.1016/S0550-3213(02)00076-7