Geometry and dynamics of higher-spin frame fields

Abstract

We give a systematic account of unconstrained free bosonic higher-spin fields on D-dimensional Minkowski and (Anti-)de Sitter spaces in the frame formalism. The generalized spin connections are determined by solving a chain of torsion-like constraints. Via a generalization of the vielbein postulate these allow to determine higher-spin Christoffel symbols, whose relation to the de Wit--Freedman connections is discussed. We prove that the generalized Einstein equations, despite being of higher-derivative order, give rise to the AdS Fronsdal equations in the compensator formulation. To this end we derive Damour-Deser identities for arbitrary spin on AdS. Finally we discuss the possibility of a geometrical and local action principle, which is manifestly invariant under unconstrained higher-spin symmetries.

30 pages, uses youngtab.sty, v2: minor changes, references added

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Cited by in corpus (14)

• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
• Spinning particles and higher spin fields on (A)dS backgrounds
• Geometric Lagrangians for massive higher-spin fields
• Shadows, currents and AdS fields
• Non-linear parent action and dual gravity
• Half-integer Higher Spin Fields in (A)dS from Spinning Particle Models
• Generalized Curvature and Ricci Tensors for a Higher Spin Potential and the Trace Anomaly in External Higher Spin Fields in AdS_{4} Space
• Hierarchy of Supersymmetric Higher Spin Connections
• A note on higher spin symmetry in the IIB matrix model with the operator interpretation
• About the (in)equivalence between holonomic versus non-holonomic theories of gravity
• Equivalence of open/closed strings
• Higher spin interactions: cubic deformations on Minkowski and (Anti)de Sitter backgrounds