In this theory scalars, spinors, and vectors are described as particles living in a d‐dimensional ordinary and a d‐dimensional Grassmann space, with d≥5. Operators of translations and the Lorentz transformations in both spaces form the super‐Poincaré algebra. It is the super‐Pauli–Ljubanski vector of an odd Grassmann character, which generates spinors. The theory offers a new insight into quantum theory of particles and their supersymmetric nature.
REFERENCES
1.
2.
3.
4.
A.
Barducci
, R.
Casalbuoni
, and L.
Lusanna
, Nuovo Cimento A
35
, 377
(1976
).5.
6.
7.
8.
IC/91/371, IJS.TP.92/22;
(c)
N.
Mankoč-Borštnik
, Int. J. Mod. Phys. A
9
, 1731
(1994
), IJS.TP.93/3, Supersymmetry, gravity and Grassmann space, to appear in the Proceedings of the Edirne Conference Frontier in Theoretical Physics, Dec. 1993.9.
L. Fonda and G. C. Girardi, Symmetry Principles in Quantum Physics (Marcel Dekker, New York, 1970) (Theoretical Physics), pp. 289–298.
10.
H. J. W. Mülter-Kirsten and A. Wiedemann, Supersymmetry, An Introduction with Conceptual and Calculational Details (World Scientific, Singapore, 1987), pp. 222–225.
11.
This content is only available via PDF.
© 1995 American Institute of Physics.
1995
American Institute of Physics
You do not currently have access to this content.
