1998/11/08 by Sultan Catto, Catto, Sultan
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Quantum Chromodynamics and Particle Interactions #Relativity and Gravitational Theory #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9811069
20 pages, Latex
arxiv created 1998/11/08 · arxiv updated 2009/11/30
Algebraic realizations of supersymmetry through SU(m,n) type superalgebras are developed. We show their applications to a bilocal quark-antiquark or a quark-diquark systems. A new scheme based on SU(6/1) is fully exploited and the bilocal approximation is shown to get carried unchanged into it. Color algebra based on octonions allows the introduction of a new larger algebra that puts quarks, diquarks and exotics in the same supermultiplet as hadrons and naturally suppresses quark configurations that are symmetrical in color space and antisymmetrical in remaining flavor, spin and position variables. A preliminary work on the first order relativistic formulation through the spin realization of Wess-Zumino super-Poincare algebra is presented.