1998/02/28 by J. A. de Azcarraga, J.A. de Azcárraga, J. C. Perez Bueno +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Cohomology #Construct (python library) #Equivariant map #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Lie algebra #Lie group #Manifold (fluid mechanics) #Simple (philosophy) #hep-th #math-ph #math.DG #math.MP
paper · pdf · doi:10.1016/s0550-3213(98)00587-2
published in Nuclear Physics B 534(3), 653-674 (Elsevier BV) · Some changes. 23 pages; latex2e file. To appear in Nucl. Phys. B
arxiv created 1998/08/31 · openalex publication_date 1998/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The problem of gauging a closed form is considered. When the target manifold is a simple Lie group G, it is seen that there is no obstruction to the gauging of a subgroup H⊂ G if we may construct from the form a cocycle for the relative Lie algebra cohomology (or for the equivariant cohomology), and an explicit general expression for these cocycles is given. The common geometrical structure of the gauged closed forms and the D'Hoker and Weinberg effective actions of WZW type, as well as the obstructions for their existence, is also exhibited and explained.