Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
26 (1985), S. 3021-3032
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
A systematic method for the construction of nonlinear carrier spaces for a class of nonlinear spinor representations of complex and pseudo-orthogonal rotation groups is presented. It is shown that Cartan pure spinors, which satisfy quadratic constraints, are special cases of our construction. A class of new nonlinear spinor representations is discovered, which is particularly interesting in the case of generalized conformal groups SO(ν+1,ν−1), ν=3,4,... . The nonlinearity condition considerably diminishes the number of independent spinor components and therefore the corresponding spinor fields are the most natural building blocks for grand unified field theories. The method presented here is universal and can be applied for the construction of new nonlinear representations of other higher-symmetry groups.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.526678
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