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A Clifford calculus for physical field theories

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Abstract

A Clifford calculus on sections of a Clifford bundle associated with a (pseudo-) Riemannian metric is reviewed. Its use is illustrated by reference to the Einstein — Yang — Mills equations. The formalism highlights the difference between the Kähler and Dirac equations and their separability in a curved space-time is discussed. Some aspects of supersymmetric models are outlined.