Bosonic conformal higher-spin fields of any symmetry

DOI10.1016/J.NUCLPHYSB.2009.12.010zbMATH Open1203.81152arXiv0909.5226OpenAlexW2075181998MaRDI QIDQ620726

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Publication date: 19 January 2011

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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 $sigm{a}_{-}$ cohomology technics in the frame-like formulation, are shown to correspond to supersymmetric vacua of certain supersymmetric matrix mechanics. The correspondence between conformal and $Ad{S}_d$ higher-spin models, that turn out to have identical generalized Weyl tensors, is discussed.

Full work available at URL: https://arxiv.org/abs/0909.5226

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