2005/01/28 by Dario Francia, D. Francia, C.M. Hull +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0501236
Based on the lecture presented by C.M. Hull at the First Solvay Workshop on Higher-Spin Gauge Theories, held in Brussels on May 12-14, 2004. Minor changes, added references
openalex publication_date 2005/01/28 · arxiv created 2005/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review the construction of free gauge theories for gauge fields in arbitrary representations of the Lorentz group in D dimensions. We describe the multi-form calculus which gives the natural geometric framework for these theories. We also discuss duality transformations that give different field theory representations of the same physical degrees of freedom, and discuss the example of gravity in D dimensions and its dual realisations in detail.