Dirac-Kähler Equation (Review)

Details Dirac-Kähler Equation (Review) Dirac-Kähler Equation (Review)

2001-10-06

arxiv.org/abs/hep-th/0110060v1

Int.J.Theor.Phys.41:653-687,2002

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, LaTeX

Scientific paper

10.1023/A:1015280310677

Tensor and matrix formulations of Dirac-K\"ahler equation for massive and massless fields are considered. The equation matrices obtained are simple linear combinations of matrix elements in the 16-dimensional space. The projection matrix-dyads defining all the 16 independent equation solutions are found. A method of computing the traces of 16-dimensional Petiau-Duffin-Kemmer matrix product is considered. It is shown that the symmetry group of the Dirac-K\"ahler tensor fields is SO(4,2). The conservation currents corresponding this symmetry are constructed. Supersymmetry of the Dirac-K\"ahler fields with tensor and spinor parameters is analyzed. We show the possibility of constructing a gauge model of interacting Dirac-K\"ahler fields where the gauge group is the noncompact group under consideration.

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