Massless conformal fields, AdS(+1)/CFT higher spin algebras and their deformations

Fernando, Sudarshan; Günaydin, Murat

doi:10.1016/j.nuclphysb.2016.01.024

Title: Massless conformal fields, AdS(+1)/CFT higher spin algebras and their deformations

Journal Article · Tue Mar 01 00:00:00 EST 2016 · Nuclear Physics. B

DOI:https://doi.org/10.1016/j.nuclphysb.2016.01.024· OSTI ID:1236905

Fernando, Sudarshan; Günaydin, Murat

Here, we extend our earlier work on the minimal unitary representation of SO(d, 2)and its deformations for d=4, 5and 6to arbitrary dimensions d. We show that there is a one-to-one correspondence between the minrep of SO(d, 2)and its deformations and massless conformal fields in Minkowskian spacetimes in ddimensions. The minrep describes a massless conformal scalar field, and its deformations describe massless conformal fields of higher spin. The generators of Joseph ideal vanish identically as operators for the quasiconformal realization of the minrep, and its enveloping algebra yields directly the standard bosonic AdS_(d+1)/CFT_d higher spin algebra. For deformed minreps the generators of certain deformations of Joseph ideal vanish as operators and their enveloping algebras lead to deformations of the standard bosonic higher spin algebra. In odd dimensions there is a unique deformation of the higher spin algebra corresponding to the spinor singleton. In even dimensions one finds infinitely many deformations of the higher spin algebra labelled by the eigenvalues of Casimir operator of the little group SO(d–2)for massless representations.

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Research Organization:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010534

OSTI ID:: 1236905

Alternate ID(s):: OSTI ID: 1252957

Journal Information:: Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 904 Journal Issue: C; ISSN 0550-3213

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 14 works

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