Octonionic Dirac Equation
نویسندگان
چکیده
منابع مشابه
General Solution of 7 D Octonionic Top Equation
The general solution of a 7D analogue of the 3D Euler top equation is shown to be given by an integration over a Riemann surface with genus 9. The 7D model is derived from the 8D Spin(7) invariant self-dual Yang-Mills equation depending only upon one variable and is regarded as a model describing self-dual membrane instantons. Several integrable reductions of the 7D top to lower target space di...
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The general solution of a 7D analogue of the 3D Euler top equation is shown to be given by an integration on a Riemann surface with genus 9. The 7D model is derived from the 8D Spin(7) invariant self-dual Yang-Mills equation dependent only upon one variable and is regarded as a model describing self-dual membrane instantons. Several integrable reductions of the 7D top to lower target space dime...
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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 con...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1996
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.96.833