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Dirac-Kähler Equation (Review) | | S.I. Kruglov
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6 Oct 2001 | | Journal: | Int.J.Theor.Phys. 41 (2002) 653-687 | | Subject: | hep-th | | 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. | | Source: | arXiv, hep-th/0110060 | | Services: | Forum | Review | PDF | Favorites | |
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