Yang-Mills theory and a superquadric

2004/11/10 by M. Movshev, Movshev, M.
Computer Science · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Matrix Theory and Algorithms #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0411111

Final version. Will be published in "Algebra, Arithmetic and Geometry - Manin Festschrift"

arxiv created 2008/10/19 · arxiv updated 2009/12/01

Abstract

We construct a supermanifold ST which turns to be an open subset of a superquadric Q(5|6) subset P^3|3times P^3|3. The Dolbeault algebra Omega^0*(ST) is quasiisomorphic to N=3, D=4 YM algebra in Batalin-Vilkovisky formulation. We construct a dbar-closed functional tr:Omega^0*(ST)=>C. We conjecture that Chern-Simons theory associated with a triple Omega^0*(ST)⊗ Mat_n,dbar,tr tr_Matn) is equivalent to N=3, D=4 YM theory with gauge group U_n in euclidean signature.

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