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

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 $2p+1>3$.

20 pages. arXiv admin note: text overlap with arXiv:2103.03037

References in corpus (2)

• Topological obstructions in Lagrangian field theories, with an application to 3D Chern-Simons gauge theory
• Variational cohomology and topological solitons in Yang-Mills-Chern-Simons theories