Linking electroweak and gravitational generators
| dc.creator | Fredsted, John | |
| dc.date | 2007-12-14 | |
| dc.date | 2007-12-15 | |
| dc.date.accessioned | 2026-07-07T08:49:22Z | |
| dc.date.available | 2026-07-07T08:49:22Z | |
| dc.description | Using complexified quaternions, an intriguing link between generators of two different and surprisingly commuting four-dimensional representations of the SU(2)xU(1) Lie group, and generators of two four-dimensional spin 1/2 representations of the Spin(3,1) Lie group is established: the former generators completely determine the latter ones, and cross-combined they constitute two different, but closely related, four-dimensional representations of Spin(3,1)xSU(2)xU(1). These representations are used to construct a Spin(3,1)xSU(2)xU(1) gauge invariant Lagrangian, containing two four-spinors consisting not as usual of Weyl two-spinors of opposite helicity and equal weak isospin, but instead of Weyl two-spinors of opposite weak isospin and equal helicity, a construction which arises naturally from the mathematical formalism itself. A possible future generalization, using complexified octonions, is discussed. | |
| dc.description | 7 pages, LaTeX; typos corrected | |
| dc.identifier | https://arxiv.org/abs/0712.2435 | |
| dc.identifier | http://arxiv.org/abs/0712.2435 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144272 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 17A75; 22E60; 70S15 | |
| dc.title | Linking electroweak and gravitational generators | |
| dc.type | text |