2016/06/13 by Ursula Carow-Watamura, Marc Andre Heller, Noriaki Ikeda +2
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Gauge anomaly #Gauge fixing #Gauge symmetry #Gauge theory #Hamiltonian lattice gauge theory #Homotopy and Cohomology in Algebraic Topology #Introduction to gauge theory #Nonlinear Waves and Solitons #Quantum gauge theory #Supersymmetric gauge theory #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep07(2016)125
39 pages
arxiv created 2016/06/13 · openalex created_date 2016/06/24 · openalex publication_date 2016/07/01 · arxiv updated 2016/08/24 · openalex updated_date 2026/08/05
We analyze higher gauge theories in various dimensions using a supergeometric method based on a differential graded symplectic manifold, called a QP-manifold, which is closely related to the BRST-BV formalism in gauge theories. Extensions of the Lie 2-algebra gauge structure are formulated within the Lie n-algebra induced by the QP-structure. We find that in 5 and 6 dimensions there are special extensions of the gauge algebra. In these cases, a restriction of the gauge symmetry by imposing constraints on the auxiliary gauge fields leads to a covariantized theory. As an example we show that we can obtain an off-shell covariantized higher gauge theory in 5 dimensions, which is similar to the one proposed in [1].