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 $2p+1>3$.

arXiv comment20 pages. arXiv admin note: text overlap with arXiv:2103.03037

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