Topological Quantum Field Theory on Non-Abelian Gerbes

Details Topological Quantum Field Theory on Non-Abelian Gerbes Topological Quantum Field Theory on Non-Abelian Gerbes

2005-10-09

arxiv.org/abs/hep-th/0510069v2

J.Geom.Phys.57:505-530,2007

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, LaTeX; v2: version to appear in J.Geom.Phys

Scientific paper

10.1016/j.geomphys.2006.04.003

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.

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