Electronic Resource
Springer
Czechoslovak journal of physics
32 (1982), S. 375-387
ISSN:
1572-9486
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The natural homomorphism of pure spinors corresponding to a given Clifford algebraC 2n to polarized isotropicn-planes of complex Euclidean spaceE 2n c is taken as a starting point for the construction of a geometry called spinor geometry where pure spinors are the only elements out of which all tensors have to be constructed (analytically as bilinear polynomials of the components of a pure spinor).C 4 andC 6 spinor geometry are analyzed, but it seems that C8 spinor geometry is necessary to construct Minkowski spaceM 3,1.C 6 spinor field equations give rise in Minkowski space to a pair of Dirac equations (for conformal semispinors) presenting ansu(2) internal symmetry algebra. Mass is generated by breaking spontaneously the originalO(4,2) symmetry of the spinor equation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01596195
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