Unconstrained higher spins of mixed symmetry I. Bose fields

2008/10/31 by Andrea Campoleoni, Dario Francia, J. Mourad +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2008.12.019

83 pages, LaTeX. References and comments added, typos corrected. Final version to appear in Nuclear Physics B

arxiv created 2008/12/18 · openalex publication_date 2008/12/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

This is the first of two papers devoted to the local "metric-like" unconstrained Lagrangians and field equations for higher-spin gauge fields of mixed symmetry in flat space. Here we complete the previous constrained formulation of Labastida for Bose fields. We thus recover his Lagrangians via the Bianchi identities, before extending them to their "minimal" unconstrained form with higher derivatives of the compensator fields and to yet another, non-minimal, form with only two-derivative terms. We also identify classes of these systems that are invariant under Weyl-like symmetries.

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Cited by

• Unconstrained Higher Spins of Mixed Symmetry. II. Fermi Fields
• Light-cone gauge approach to arbitrary spin fields, currents and shadows