Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-12-21
J.Phys.A34:3823-3830,2001
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, LaTeX
Scientific paper
10.1088/0305-4470/34/18/310
Superfield expansions over four-dimensional graded spacetime $(x^\mu,\theta^\nu)$, with Minkowski coordinates $x$ extended by vector Grassmann variables $\theta$, are investigated. By appropriate identification of the physical Lorentz algebra in the even and odd parts of the superfield, a typology of `schizofields' containing both integer and half-integer spin fields is established. For two of these types, identified as `gauge potential'-like and `field strength'-like schizofields, an $sl(2/1,{\mathbb C})_{\mathbb R}$ supersymmetry at the component field level is demonstrated. Prospects for a schizofield calculus, and application of these types of fields to the particle spectrum, are adumbrated.
Fienberg K. S.
Jarvis Peter D.
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