2023/06/24 by Rafał R. Suszek, Suszek, Rafał R.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.2306.14045
openalex publication_date 2023/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A concrete geometrisation scheme is proposed for the Green-Schwarz cocycles in the supersymmetric de Rham cohomology of the super-minkowskian spacetime, which determine standard super-σ-model dynamics of super-p-branes. The scheme yields higher-supergeometric structures with supersymmetry akin to those known from the un-graded setting - distinguished (Murray-type) p-gerbe objects in the category of Lie supergroups. These are shown to carry a canonical equivariant structure for the action of the discrete Kostelecký-Rabin subgroup of the target supersymmetry group on the target, and thus to resolve the `topology' of the corresponding Rabin-Crane soul superorbifold of the super-minkowskian spacetime. The equivariant structure is seen to effectively define a novel σ-model of super-p-brane dynamics in the super-orbifold through the construction of the corresponding (gauge-)symmetry defect.