Dynamics of Higher Spin Fields and Tensorial Space

Abstract

The structure and the dynamics of massless higher spin fields in various dimensions are reviewed with an emphasis on conformally invariant higher spin fields. We show that in D=3,4,6 and 10 dimensional space-time the conformal higher spin fields constitute the quantum spectrum of a twistor-like particle propagating in tensorial spaces of corresponding dimensions. We give a detailed analysis of the field equations of the model and establish their relation with known formulations of free higher spin field theory.

JHEP3 style, 40 pages; v2 typos corrected, comments and references added; v3 published version

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Cited by in corpus (57)

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• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
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• Bosonic conformal higher--spin fields of any symmetry
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• Spinning particles and higher spin fields on (A)dS backgrounds
• Operator algebra of free conformal currents via twistors
• Higher-Spin Theory and Space-Time Metamorphoses
• Gauge invariant Lagrangian construction for massive higher spin fermionic fields
• String theory triplets and higher-spin curvatures
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• Higher-spin Chern-Simons theories in odd dimensions
• Higher Spin Fields in Siegel Space, Currents and Theta Functions
• Formal Higher-Spin Theories and Kontsevich-Shoikhet-Tsygan Formality
• U(N) spinning particles and higher spin equations on complex manifolds
• Conformal geometry and (super)conformal higher-spin gauge theories
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• Half-integer Higher Spin Fields in (A)dS from Spinning Particle Models
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
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• Higher Spins in Hyper-Superspace
• Higher Spins in Hyperspace
• Higher Spins from Nonlinear Realizations of $OSp(1|8)$
• New spinorial particle model in tensorial space-time and interacting higher spin fields
• Mixed-symmetry multiplets and higher-spin curvatures
• Lagrangian conformal higher spin theory
• Massive and massless higher spinning particles in odd dimensions
• Geometry and dynamics of higher-spin frame fields
• Singletons and their maximal symmetry algebras
• Symmetries of higher-spin current interactions in four dimensions
• Conformal self-dual fields
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• Symmetry and holonomy in M Theory