2003/03/31 by Paul de Medeiros, P. de Medeiros, C. Hull +1 · 4 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Electromagnetic tensor #Field (mathematics) #Field equation #Gauge theory #Introduction to gauge theory #Lorenz gauge condition #Mathematical descriptions of the electromagnetic field #Noncommutative and Quantum Gravity Theories #Supersymmetric gauge theory #Tensor (intrinsic definition) #Tensor field #hep-th
paper · pdf · doi:10.1088/1126-6708/2003/05/019
published as JHEP 0305 (2003) 019 · 34 pages, LaTeX. Reference added
openalex publication_date 2003/05/10 · arxiv created 2003/05/14 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Higher spin tensor gauge fields have natural gauge-invariant field equations written in terms of generalised curvatures, but these are typically of higher than second order in derivatives. We construct geometric second order field equations and actions for general higher spin boson fields, and first order ones for fermions, which are non-local but which become local on gauge-fixing, or on introducing auxiliary fields. This generalises the results of Francia and Sagnotti to all representations of the Lorentz group.