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On Higher Spins with a Strong Sp(2,R) Condition

A. Sagnotti·E. Sezgin·P. Sundell
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Abstract

We report on an analysis of the Vasiliev construction for minimal bosonic higher-spin master fields with oscillators that are vectors of SO(D-1,2) and doublets of Sp(2,R). We show that, if the original master field equations are supplemented with a strong Sp(2,R) projection of the 0-form while letting the 1-form adjust to the resulting Weyl curvatures, the linearized on-shell constraints exhibit both the proper mass terms and a geometric gauge symmetry with unconstrained, traceful parameters. We also address some of the subtleties related to the strong projection and the prospects for obtaining a finite curvature expansion.

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A. Sagnotti, E. Sezgin, P. Sundell. 2005-01-20. On Higher Spins with a Strong Sp(2,R) Condition. https://arxiv.org/abs/hep-th/0501156

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