Tensor Gauge Fields in Arbitrary Representations of GL(D, ℝ) : II. Quadratic Actions

2006/06/30 by Xavier Bekaert, Nicolas Boulanger · 10 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1007/s00220-006-0187-x

published as Commun.Math.Phys.271:723-773,2007 · LaTeX, 53 pages, no figure. Accepted for publication in Communications in Mathematical Physics. Local Fierz-Pauli programme achieved by completing the analysis of Labastida

arxiv created 2006/11/07 · openalex publication_date 2007/01/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

Quadratic, second-order, non-local actions for tensor gauge fields transforming in arbitrary irreducible representations of the general linear group in D-dimensional Minkowski space are explicitly written in a compact form by making use of Levi-Civita tensors. The field equations derived from these actions ensure the propagation of the correct massless physical degrees of freedom and are shown to be equivalent to non-Lagrangian local field equations proposed previously. Moreover, these actions allow a frame-like reformulation a la MacDowell-Mansouri, without any trace constraint in the tangent indices.

Citations

• On Higher Spins with a Strong Sp(2,R) Condition
• On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
• Nonlinear higher spin theories in various dimensions
• On Massive Mixed Symmetry Tensor Fields in Minkowski Space and (A)dS
• Higher-derivative Lagrangians, nonlocality, problems, and solutions

Cited by

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• The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra
• Detours and paths: BRST complexes and worldline formalism
• Gauge fields in (A)dS d within the unfolded approach: algebraic aspects
• (A)dS exchanges and partially-massless higher spins
• Consistent couplings between spin-2 and spin-3 massless fields
• Higher-spin Chern–Simons theories in odd dimensions
• CFT adapted gauge invariant formulation of massive arbitrary spin fields in AdS
• Unconstrained higher spins of mixed symmetry I. Bose fields
• Light-cone gauge approach to arbitrary spin fields, currents and shadows