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arXiv · 0909.5226

Bosonic conformal higher--spin fields of any symmetry

M. A. Vasiliev
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Abstract

Free Lagrangians are found both for gauge and non-gauge bosonic conformal fields of any symmetry type and in any space-time dimension. Conformal gauge fields of various types, their gauge transformations and gauge invariant field strengths (generalized Weyl tensors), which are derived by the $σ_-$ cohomology technics in the frame-like formulation, are shown to correspond to supersymmetric vacua of certain supersymmetric matrix mechanics. The correspondence between conformal and $AdS_d$ higher-spin models, that turn out to have identical generalized Weyl tensors, is discussed.

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M. A. Vasiliev. 2009-12-17. Bosonic conformal higher--spin fields of any symmetry. https://doi.org/10.1016/j.nuclphysb.2009.12.010

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