Higher Gauge Theories from Lie n-algebras and Off-Shell Covariantization
arXiv:1606.03861 · doi:10.1007/JHEP07(2016)125
Abstract
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] (arxiv:1206.5643).
arXiv comment39 pages
References in corpus (16)
- String Theory Dynamics In Various Dimensions
- The Geometry of the Master Equation and Topological Quantum Field Theory
- Geometry of Batalin-Vilkovisky quantization
- An Invitation to Higher Gauge Theory
- Interacting Chiral Gauge Fields in Six Dimensions and Born-Infeld Theory
- Semiclassical approximation in Batalin-Vilkovisky formalism
- Nonabelian (2,0) Tensor Multiplets and 3-algebras
- Čech cocycles for differential characteristic classes -- An infinity-Lie theoretic construction
- Lie algebroid morphisms, Poisson Sigma Models, and off-shell closed gauge symmetries
- Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors
- General Yang-Mills type gauge theories for p-form gauge fields: From physics-based ideas to a mathematical framework OR From Bianchi identities to twisted Courant algebroids
- Non-Abelian Tensor Towers and (2,0) Superconformal Theories
- Chiral forms and their deformations
- Hidden Q-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions
- Generalized Higher Gauge Theory
- Topological Membranes, Current Algebras and H-flux - R-flux Duality based on Courant Algebroids