English

Yang-Mills by dimensionally reducing Chern-Simons

High Energy Physics - Theory 2011-06-28 v1

Abstract

We derive the usual first-order form of the Yang-Mills action in arbitrary dimensions by dimensional reduction from a Chern-Simons-like action. The antisymmetric tensor auxiliary field of the first-order action appears as a gauge field for the extra dimensions. The higher-dimensional geometry was introduced in our previous paper by adding dimensions "dual" to spin, as suggested by the superstring's affine Lie algebra.

Keywords

Cite

@article{arxiv.1106.5400,
  title  = {Yang-Mills by dimensionally reducing Chern-Simons},
  author = {Warren Siegel},
  journal= {arXiv preprint arXiv:1106.5400},
  year   = {2011}
}

Comments

4 pages

R2 v1 2026-06-21T18:28:06.584Z