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Grassmann coordinates and Lie algebras for unified models
Citation
Delbourgo, R and Jarvis, PD and Warner, RC, Grassmann coordinates and Lie algebras for unified models, Journal of Mathematical Physics, 34, (8) pp. 3616-3641. ISSN 0022-2488 (1993) [Refereed Article]
DOI: doi:10.1063/1.530049
Abstract
A variety of Lie algebras and certain classes of representations can be constructed using Grassmann variables regarded as Lorentz scalar coordinates belonging to an internal space. The generators are realized as combinations of multilinear products of the coordinates and derivative operators, while the representations emerge as antisymmetric polynomials in the variables and are thus severely restricted. The nature of these realizations and the interconnections between various subalgebras, for N independent complex anticommuting coordinates, is explored. The addition of such Grassmann coordinates to the usual spacetime manifold provides a natural superfield setting for a unified theory of symmetries of elementary particles. The particle content can be further restricted by imposing discrete symmetries (Lie algebra automorphisms). For the case N=5 some anomaly free choices of multiplets are derived through the imposition of specific superfield duality conditions.
Item Details
Item Type: | Refereed Article |
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Research Division: | Physical Sciences |
Research Group: | Particle and high energy physics |
Research Field: | Particle physics |
Objective Division: | Expanding Knowledge |
Objective Group: | Expanding knowledge |
Objective Field: | Expanding knowledge in the physical sciences |
UTAS Author: | Delbourgo, R (Professor Robert Delbourgo) |
UTAS Author: | Jarvis, PD (Dr Peter Jarvis) |
UTAS Author: | Warner, RC (Dr Roland Warner) |
ID Code: | 90688 |
Year Published: | 1993 |
Web of Science® Times Cited: | 5 |
Deposited By: | Mathematics and Physics |
Deposited On: | 2014-04-16 |
Last Modified: | 2014-04-16 |
Downloads: | 0 |
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