Bosonic conformal higher--spin fields of any symmetry

Details Bosonic conformal higher--spin fields of any symmetry Bosonic conformal higher--spin fields of any symmetry

2009-09-28

arxiv.org/abs/0909.5226v3

Nucl.Phys.B829:176-224,2010

Physics

High Energy Physics

High Energy Physics - Theory

55 pages, to the memory of Efim Samoilovich Fradkin; v2 minor corrections, comments and references added; V3 typos corrected r

Scientific paper

10.1016/j.nuclphysb.2009.12.010

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 $\sigma_-$ 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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