Exterior Differential Systems for Yang-Mills Theories
Frank B. Estabrook
TL;DR
This paper applies exterior differential systems to analyze Maxwell and SU(2)-Yang-Mills equations across dimensions three to six, calculating their Cartan characters to understand their geometric structure.
Contribution
It introduces a systematic approach using exterior differential systems to study Yang-Mills theories in various dimensions, providing new geometric insights.
Findings
Cartan characters calculated for Maxwell and SU(2)-Yang-Mills equations
Analysis extended to dimensions 3 through 6
Provides a geometric framework for understanding gauge theories
Abstract
Exterior differential systems are given, and their Cartan characters calculated, for Maxwell and SU(2)-Yang-Mills equations in dimensions from three to six.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.