A cohomological obstruction in higher dimensional Chern--Simons gauge theories

2021/11/17 by Marcella Palese, Ekkehart Winterroth
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Chern–Simons theory #Gauge (firearms) #Gauge theory #Geography #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Theoretical physics #hep-th #math-ph #math.MP #msc:53C07 #msc:57R20

paper · pdf · doi:10.1142/s0219887822500323

published as Int. Jour. Geom. Meth. Mod. Phys. 19 (03) (2022) 2250032 · 20 pages. arXiv admin note: text overlap with arXiv:2103.03037

arxiv created 2021/11/17 · openalex created_date 2021/11/22 · openalex publication_date 2021/12/15 · arxiv updated 2022/03/16 · openalex updated_date 2026/08/05

Abstract

We study a set of cohomology classes which emerge in the cohomological formulations of the calculus of variations as obstructions to the existence of (global) solutions of the Euler--Lagrange equations of Chern--Simons gauge theories in higher dimensions 2p+1 > 3.

Citations

• Variational cohomology and topological solitons in Yang-Mills-Chern-Simons theories
• �ber die Erhaltungss�tze der Elektrodynamik
• Characteristic Forms and Geometric Invariants
• Characteristic Classes. (AM-76)
• Topologically massive gauge theories