Candidate for the role of higher-spin symmetry

Infinite-dimensional non-abelian superalgebras, related to interacting massless higher-spin fields of all spins s ⩾ 3/2, are proposed. Conditions are formulated that provide uniqueness for these higher-spin superalgebras, denoted as shs ρ(1) (ρ = 0 or 1). Among these conditions, the major role is pl...

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Bibliographic Details
Published in:Annals of physics 1987-07, Vol.177 (1), p.63-112
Main Authors: Fradkin, E.S., Vasiliev, M.A.
Format: Article
Language:English
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Summary:Infinite-dimensional non-abelian superalgebras, related to interacting massless higher-spin fields of all spins s ⩾ 3/2, are proposed. Conditions are formulated that provide uniqueness for these higher-spin superalgebras, denoted as shs ρ(1) (ρ = 0 or 1). Among these conditions, the major role is played by the requirement that linearized curvatures of shs ρ(1) coincide with the linearized higher-spin curvatures obtained previously. Subalgebras and contractions of shs ρ(1) are considered. A higher-spin interaction, which is introduced in terms of the shs ρ(1) curvatures, is discussed briefly. It is found that a gravitational interaction of massless higher spins requires non-analyticity in the cosmological constant.
ISSN:0003-4916
1096-035X
DOI:10.1016/S0003-4916(87)80025-8