Sets and C^n; Quivers and A-D-E; Triality; Generalized Supersymmetry; and D4-D5-E6
| dc.creator | Smith, F. D. T. | |
| dc.date | 1993-06-02 | |
| dc.date.accessioned | 2026-07-07T04:19:28Z | |
| dc.date.available | 2026-07-07T04:19:28Z | |
| dc.description | The relation between Geisteswissenschaft and Naturwissenschaft has been discussed by Munster in hep-th/9305104. The plan of this paper is to begin with the empty set; use it to form sets and quivers (sets of points plus sets of arrows between pairs of points); and then use them to make complex vector spaces and to get the A-D-E Coxeter-Dynkin diagrams. The Dn Spin(2n) Lie algebras have spinor representations to describe fermions. D4 Spin(8) triality gives automorphisms among its vector and two half-spinor representations. D5 Spin(10) contains both Spin(8) and the complexification of the vector representation of Spin(8). E6 contains both Spin(10) and the two half-spinor representations of Spin(10), and therefore contains the adjoint representation of Spin(8) and the complexifications of the vector and the two half-spinor representations of Spin(8). E6 is the basis for construction of a fundamental model of physics that is consistent with experiment (see hep-th/9302030, hep-ph/9301210). | |
| dc.description | 1+22 pages, THEP-93-5, LaTex | |
| dc.identifier | https://arxiv.org/abs/hep-th/9306011 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9306011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53560 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Sets and C^n; Quivers and A-D-E; Triality; Generalized Supersymmetry; and D4-D5-E6 | |
| dc.type | text |