2009/11/30 by L. Bonora, L Bonora, R. P. Malik +1 · 45 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #BRST quantization #Black Holes and Theoretical Physics #Context (archaeology) #Field (mathematics) #Gauge (firearms) #Gauge theory #Homotopy and Cohomology in Algebraic Topology #Interpretation (philosophy) #Introduction to gauge theory #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1088/1751-8113/43/37/375403
published in Journal of Physics A Mathematical and Theoretical 43(37), 375403 (Institute of Physics) · A comment added. To appear in Jour. Phys. A: Mathemaical and Theoretical
arxiv created 2010/07/23 · openalex publication_date 2010/08/11 · arxiv updated 2011/06/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We continue the comparison between the field theoretical and geometrical approaches to the gauge field theories of various types, by deriving their Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST trasformation properties and comparing them with the geometrical properties of the bundles and gerbes. In particular, we provide the geometrical interpretation of the so--called Curci-Ferrari conditions that are invoked for the absolute anticommutativity of the BRST and anti-BRST symmetry transformations in the context of non-Abelian 1-form gauge theories as well as Abelian gauge theory that incorporates a 2-form gauge field. We also carry out the explicit construction of the 3-form gauge fields and compare it with the geometry of 2--gerbes.