Noether conservation laws in higher-dimensional Chern-Simons theory

TL;DR

This paper explores how higher-dimensional Chern-Simons theories, despite their gauge non-invariance, still produce conserved currents through modified Noether laws, enriching understanding of gauge invariance and conservation in advanced field theories.

Contribution

It demonstrates the existence of conserved currents in higher-dimensional Chern-Simons theories despite their gauge non-invariance, through a modified Noether approach.

Findings

Conservation laws are derived for higher-dimensional Chern-Simons forms.

Modified Noether currents are conserved despite gauge non-invariance.

The work extends understanding of gauge invariance and conservation in higher-dimensional gauge theories.

Abstract

Though a global Chern-Simons (2k-1)-form is not gauge invariant, this form seen as a Lagrangian of higher-dimensional gauge theory leads to the conservation law of a modified Noether current.