Topological Quantum Field Theory on Non-Abelian Gerbes
arXiv:hep-th/0510069 · doi:10.1016/j.geomphys.2006.04.003
Abstract
The infinitesimal symmetries of a fully decomposed non-Abelian gerbe can be generated in terms of a nilpotent BRST operator, which is here constructed. The appearing fields find a natural interpretation in terms of the universal gerbe, a generalisation of the universal bundle. We comment on the construction of observables in the arising Topological Quantum Field Theory. It is also shown how the BRST operator and the trace part of a suitably truncated set of fields on the non-Abelian gerbe reduce directly to the coboundary operator and the pertinent cochains of the underlying Cech-de Rham complex.
36 pages, LaTeX; v2: version to appear in J.Geom.Phys
References in corpus (9)
- Higher Gauge Theory: 2-Connections on 2-Bundles
- Higher Yang-Mills Theory
- Abelian and non-Abelian branes in WZW models and gerbes
- Gerbes, M5-Brane Anomalies and E_8 Gauge Theory
- Type I D-branes in an H-flux and twisted KO-theory
- Nonabelian 2-forms and loop space connections from SCFT deformations
- RETRACTED: Yang-Mills theory for bundle gerbes
- Holonomies of Intersecting Branes
- Non-Geometric Magnetic Flux and Crossed Modules