Bosonic conformal higher-spin fields of any symmetry

2009/09/30 by M. A. Vasiliev · 105 citations
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Cohomology #Conformal anomaly #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Gauge symmetry #Gauge theory #Geometry #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Primary field #Pure mathematics #Supersymmetric gauge theory #Symmetry (geometry) #Theoretical physics #Weyl transformation #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2009.12.010

published in Nuclear Physics B 829(1-2), 176-224 (Elsevier BV) · 55 pages, to the memory of Efim Samoilovich Fradkin; v2 minor corrections, comments and references added; V3 typos corrected references updated

arxiv created 2009/12/17 · openalex publication_date 2009/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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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Cited by

• The Schouten tensor as a connection in the unfolding of 3D conformal higher-spin fields
• Arbitrary spin conformal fields in (A)dS
• Massive higher spins from BRST and tractors