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Beautiful Gauge Field Equations in Clifforms
Authors:Eckehard W Mielke
Institution:(1) Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Mexico City
Abstract:By combining the tetrads of unholonomic frames of spacetime with the Dirac matrices to a one-form gamma, we can reformulate not only the Dirac equation, but also the Einstein equations and supergravity in a very concise form. These ldquoClifformsrdquo also shed some light on the chiral decomposition à la Ashtekar, the role of the axion as a dynamical degree of freedom dual to the torsion of the Einstein—Cartan theory, and the role of the Seiberg—Witten equation for S-duality.
Keywords:
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