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arXiv · hep-th/0110060

Dirac-Kähler Equation (Review)

S. I. Kruglov
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Abstract

Tensor and matrix formulations of Dirac-Kähler 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-Kähler tensor fields is SO(4,2). The conservation currents corresponding this symmetry are constructed. Supersymmetry of the Dirac-Kähler fields with tensor and spinor parameters is analyzed. We show the possibility of constructing a gauge model of interacting Dirac-Kähler fields where the gauge group is the noncompact group under consideration.

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S. I. Kruglov. 2001-10-06. Dirac-Kähler Equation (Review). https://doi.org/10.1023/a%3A1015280310677

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