2005/10/31 by Jussi Kalkkinen · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #BRST quantization #Black Holes and Theoretical Physics #Class (philosophy) #Cohomology #Combinatorics #Computer science #Cosmology and Gravitation Theories #Flux (metallurgy) #Gauge theory #Magnetic field #Magnetic flux #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Operator (biology) #Physics #Pure mathematics #Quantum mechanics #Topology (electrical circuits) #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2006.02.009
26 pages, LaTeX; v2: expanded, typos corrected; v3: typos corrected, version to apper in Nucl. Phys. B
arxiv created 2006/02/17 · openalex publication_date 2006/02/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that the BRST operator of twisted N=4 Yang-Mills theory in four dimensions is locally the same as the BRST operator of a fully decomposed non-Abelian gerbe. Using locally defined Yang-Mills theories we describe non-perturbative backgrounds that carry a novel magnetic flux. Given by elements of the crossed module G x Aut G, these non-geometric fluxes can be classified in terms of the cohomology class of the underlying non-Abelian gerbe, and generalise the centre ZG valued magnetic flux found by 't Hooft. These results shed light also on the description of non-local dynamics of the chiral five-brane in terms of non-Abelian gerbes.