Kalb-Ramond field and Dirac-Kahler equation
V. A. Pletyukhov, V. I. Strazhev
TL;DR
This paper explores the relationship between the Kalb-Ramond field and the Dirac-Kahler equation, providing matrix and tensor formulations that unify descriptions of electromagnetic and massless fields.
Contribution
It demonstrates that the relativistic wave equation for these fields is a special case of the Dirac-Kahler system, offering a unified mathematical framework.
Findings
Matrix and tensor formulations for the fields
Identification of the wave equation as a Dirac-Kahler system
Unified description of electromagnetic and Kalb-Ramond fields
Abstract
Matrix and tensor formulations of the relativistic wave equation providing description both an electromagnetic field (photon) and a massless Kalb-Ramond field with the zero helicity (notoph) are given. It is shown that this equation is a particular case of the Dirac-Kahler system.
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Taxonomy
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry