1996/10/01 by Norma Mankoč Borštnik, Borstnik, Norma Mankoc
Mathematics · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.hep-th/9610004
openalex publication_date 1996/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In space of d ordinary and d Grassmann coordinates, with d ≥ 15, the charges unify with the spin: the Lorentz group SO(1, d-1) in Grassmann space manifests under certain conditions as SO(1,3) (in d=4 subspace) times SO(10) ⊃ SU(3) × SU(2) × U(1) (in the rest of the space), accordingly the symmetry group of the S- matrix, which is approximatelly unitary in d=4 ordinary subspace, manifests as the direct product of the Poincaré group in d=4 subspace and the group describing charges. (Talk presented at XIX Triangular Meeting on Recent Development in Quantum Theories, Rome, March 1996 and at IWCQIS 96, Dubna, July 1996.)