Gauge invariants and Killing tensors in higher-spin gauge theories

Abstract

In free completely symmetric tensor gauge field theories on Minkowski space-time, all gauge invariant functions and Killing tensor fields are computed, both on-shell and off-shell. These problems are addressed in the metric-like formalisms.

LaTeX, 24 pages, no figure. One reference added and one definition corrected. Accepted for publication in NPB

References in corpus (5)

• Nonlinear higher spin theories in various dimensions
• An Introduction to Free Higher-Spin Fields
• No Self-Interaction for Two-Column Massless Fields
• On Higher Spins with a Strong Sp(2,R) Condition
• Mixed symmetry gauge fields in a flat background

Cited by in corpus (26)

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• Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions
• Minimal Local Lagrangians for Higher-Spin Geometry
• Consistent couplings between spin-2 and spin-3 massless fields
• Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• Spin three gauge theory revisited
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• Parity violating vertices for spin-3 gauge fields
• Notes on higher-spin algebras: minimal representations and structure constants
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• Parent formulations, frame-like Lagrangians, and generalized auxiliary fields
• Surface charges and dynamical Killing tensors for higher spin gauge fields in constant curvature spaces
• Higher Spin Conformal Geometry in Three Dimensions and Prepotentials for Higher Spin Gauge Fields
• Comments on higher-spin symmetries
• Lagrangian conformal higher spin theory
• Cubic-interaction-induced deformations of higher-spin symmetries
• Higher-spin charges in Hamiltonian form. I. Bose fields
• Aspects of Higher-Spin Theory with Fermions
• Asymptotic symmetries of three-dimensional higher-spin gravity: the metric approach
• Higher spin interactions: cubic deformations on Minkowski and (Anti)de Sitter backgrounds
• Topological Fields in $4d$ Higher Spin Theory
• Invariant traces of the flat space chiral higher-spin algebra as scattering amplitudes