Unitary supermultiplets of OSp(8*|4) and the AdS7/CFT6 duality

Murat Gunaydin, Seiji Takemae

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We study the unitary supermultiplets of the N=4d=7 anti-de Sitter ( AdS7 ) superalgebra OSp(8*|4) , with the even subalgebra SO(6,2)×USp(4) , which is the symmetry superalgebra of M-theory on AdS7×S4 . We give a complete classification of the positive energy doubleton and massless supermultiplets of OSp(8*|4) . The ultra-short doubleton supermultiplets do not have the Poincaré limit in AdS7 and correspond to superconformal field theories on the boundary of AdS7 which can be identified with d=6 Minkowski space. We show that the six-dimensional Poincaré mass operator m2=PμPμ vanishes identically for the doubleton representations. By going from the compact U(4) basis of SO*(8)=SO(6,2) to the noncompact basis SU*(4)×D (d=6 Lorentz group times dilatations) one can associate the positive (conformal) energy representations of SO*(8) with conformal fields transforming covariantly under the Lorentz group in d=6 . The oscillator method used for the construction of the unitary supermultiplets of OSp(8*|4) can be given a dynamical realization in terms of chiral super-twistor fields.

Original languageEnglish (US)
Pages (from-to)405-448
Number of pages44
JournalNuclear Physics B
Volume578
Issue number1-2
DOIs
StatePublished - Jul 3 2000

Fingerprint

Minkowski space
oscillators
operators
energy
symmetry

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Gunaydin, Murat ; Takemae, Seiji. / Unitary supermultiplets of OSp(8*|4) and the AdS7/CFT6 duality. In: Nuclear Physics B. 2000 ; Vol. 578, No. 1-2. pp. 405-448.
@article{52514ebb3b034f99818f2f69b6affe3c,
title = "Unitary supermultiplets of OSp(8*|4) and the AdS7/CFT6 duality",
abstract = "We study the unitary supermultiplets of the N=4d=7 anti-de Sitter ( AdS7 ) superalgebra OSp(8*|4) , with the even subalgebra SO(6,2)×USp(4) , which is the symmetry superalgebra of M-theory on AdS7×S4 . We give a complete classification of the positive energy doubleton and massless supermultiplets of OSp(8*|4) . The ultra-short doubleton supermultiplets do not have the Poincar{\'e} limit in AdS7 and correspond to superconformal field theories on the boundary of AdS7 which can be identified with d=6 Minkowski space. We show that the six-dimensional Poincar{\'e} mass operator m2=PμPμ vanishes identically for the doubleton representations. By going from the compact U(4) basis of SO*(8)=SO(6,2) to the noncompact basis SU*(4)×D (d=6 Lorentz group times dilatations) one can associate the positive (conformal) energy representations of SO*(8) with conformal fields transforming covariantly under the Lorentz group in d=6 . The oscillator method used for the construction of the unitary supermultiplets of OSp(8*|4) can be given a dynamical realization in terms of chiral super-twistor fields.",
author = "Murat Gunaydin and Seiji Takemae",
year = "2000",
month = "7",
day = "3",
doi = "10.1016/S0550-3213(00)00026-2",
language = "English (US)",
volume = "578",
pages = "405--448",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "1-2",

}

Unitary supermultiplets of OSp(8*|4) and the AdS7/CFT6 duality. / Gunaydin, Murat; Takemae, Seiji.

In: Nuclear Physics B, Vol. 578, No. 1-2, 03.07.2000, p. 405-448.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Unitary supermultiplets of OSp(8*|4) and the AdS7/CFT6 duality

AU - Gunaydin, Murat

AU - Takemae, Seiji

PY - 2000/7/3

Y1 - 2000/7/3

N2 - We study the unitary supermultiplets of the N=4d=7 anti-de Sitter ( AdS7 ) superalgebra OSp(8*|4) , with the even subalgebra SO(6,2)×USp(4) , which is the symmetry superalgebra of M-theory on AdS7×S4 . We give a complete classification of the positive energy doubleton and massless supermultiplets of OSp(8*|4) . The ultra-short doubleton supermultiplets do not have the Poincaré limit in AdS7 and correspond to superconformal field theories on the boundary of AdS7 which can be identified with d=6 Minkowski space. We show that the six-dimensional Poincaré mass operator m2=PμPμ vanishes identically for the doubleton representations. By going from the compact U(4) basis of SO*(8)=SO(6,2) to the noncompact basis SU*(4)×D (d=6 Lorentz group times dilatations) one can associate the positive (conformal) energy representations of SO*(8) with conformal fields transforming covariantly under the Lorentz group in d=6 . The oscillator method used for the construction of the unitary supermultiplets of OSp(8*|4) can be given a dynamical realization in terms of chiral super-twistor fields.

AB - We study the unitary supermultiplets of the N=4d=7 anti-de Sitter ( AdS7 ) superalgebra OSp(8*|4) , with the even subalgebra SO(6,2)×USp(4) , which is the symmetry superalgebra of M-theory on AdS7×S4 . We give a complete classification of the positive energy doubleton and massless supermultiplets of OSp(8*|4) . The ultra-short doubleton supermultiplets do not have the Poincaré limit in AdS7 and correspond to superconformal field theories on the boundary of AdS7 which can be identified with d=6 Minkowski space. We show that the six-dimensional Poincaré mass operator m2=PμPμ vanishes identically for the doubleton representations. By going from the compact U(4) basis of SO*(8)=SO(6,2) to the noncompact basis SU*(4)×D (d=6 Lorentz group times dilatations) one can associate the positive (conformal) energy representations of SO*(8) with conformal fields transforming covariantly under the Lorentz group in d=6 . The oscillator method used for the construction of the unitary supermultiplets of OSp(8*|4) can be given a dynamical realization in terms of chiral super-twistor fields.

UR - http://www.scopus.com/inward/record.url?scp=0034600578&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034600578&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(00)00026-2

DO - 10.1016/S0550-3213(00)00026-2

M3 - Article

AN - SCOPUS:0034600578

VL - 578

SP - 405

EP - 448

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -