Yang-Mills theory and a superquadric
Abstract
We construct a supermanifold ST which turns to be an open subset of a superquadric Q(5|6) subset P3|3times P3|3. The Dolbeault algebra Omega0*(ST) is quasiisomorphic to N=3, D=4 YM algebra in Batalin-Vilkovisky formulation. We construct a dbar-closed functional tr:Omega0*(ST)=>C. We conjecture that Chern-Simons theory associated with a triple Omega0*(ST) Matn,dbar,tr trMatn) is equivalent to N=3, D=4 YM theory with gauge group Un in euclidean signature.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.