2016/02/28 by E. M. Cioroianu, Eugen-Mihaita Cioroianu
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #BRST quantization #Black Holes and Theoretical Physics #Gauge anomaly #Gauge symmetry #Gauge theory #Hamiltonian lattice gauge theory #Introduction to gauge theory #Mathematical descriptions of the electromagnetic field #Minkowski space #Noncommutative and Quantum Gravity Theories #Supersymmetric gauge theory #hep-th
paper · pdf · doi:10.1142/s0217751x17500440
24 pages
arxiv created 2016/02/28 · openalex created_date 2016/06/24 · openalex publication_date 2017/03/17 · arxiv updated 2017/04/26 · openalex updated_date 2026/08/05
The aim of this paper consists in the investigation of both first- and second-order dynamics for a special massless tensor gauge field of degree [Formula: see text]. Geometrically, this can be interpreted as a bosonic (1-)form-valued [Formula: see text]-form that, in specific space–time dimensions, describes either spin-1 or spin 2 gauge fields. The idea of using multi-forms in describing general tensor gauge fields is not new. It was previously investigated at Lagrangian level[Formula: see text] where was displayed interesting exotic gauge theories. In arbitrary Minkowski space–times, the considered geometric object combines two tensor gauge fields with mixed symmetry namely a [Formula: see text]-form and a massless tensor gauge field with the mixed symmetry [Formula: see text]. Concretely, we first approach the bosonic (1-)form-valued [Formula: see text]-form from the Hamiltonian perspective, Dirac analysis revealing new compelling gauge structures. Second, we construct the Lagrangian first-order formulations for the considered geometric ingredient.