2005/09/30 by Nicolas Boulanger, Sandrine Cnockaert, Serge Leclercq · 3 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Gauge boson #Gauge fixing #Gauge theory #Introduction to gauge theory #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Parity (physics) #Physics #Pure mathematics #Quantum gauge theory #Quantum mechanics #Theoretical physics #Vertex (graph theory) #hep-th
paper · pdf · doi:10.1103/physrevd.73.065019
published as Phys.Rev.D73:065019,2006 · 27 pages, 1 table, revtex4, typos corrected
openalex publication_date 2006/03/17 · arxiv created 2006/03/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The problem of constructing consistent parity-violating interactions for spin-3 gauge fields is considered in Minkowski space. Under the assumptions of locality, Poincar'e invariance, and parity noninvariance, we classify all the nontrivial perturbative deformations of the Abelian gauge algebra. In space-time dimensions n=3 and n=5, deformations of the free theory are obtained which make the gauge algebra non-Abelian and give rise to nontrivial cubic vertices in the Lagrangian, at first order in the deformation parameter g. At second order in g, consistency conditions are obtained which the five-dimensional vertex obeys, but which rule out the n=3 candidate. Moreover, in the five-dimensional first-order deformation case, the gauge transformations are modified by a new term which involves the second de Wit-Freedman connection in a simple and suggestive way.