Jörg Schray 1996 Class. Quantum Grav. 13 27 doi:10.1088/0264-9381/13/1/004
The general classical solution of the superparticle
Jörg Schray
Show affiliationsThe theory of vectors and spinors in (9 + 1)-dimensional spacetime is introduced in a completely octonionic formalism based on an octonionic representation of the Clifford algebra 
. The general solution of the classical equations of motion of the CBS superparticle is given to all orders of the Grassmann hierarchy. A spinor and a vector are combined into a 
Grassmann, octonionic, Jordan matrix in order to construct a superspace variable to describe the superparticle. The combined Lorentz and supersymmetry transformations of the fermionic and bosonic variables are expressed in terms of Jordan products.
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Issue 1 (January 1996)
Received 3 July 1995, in final form 10 October 1995
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The general classical solution of the superparticle
Jörg Schray 1996 Class. Quantum Grav. 13 27
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