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Supergravity by Daniel Z. Freedman, Antoine Van Proeyen

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The Dirac equation is a relativistic wave equation that is first order in space and time derivatives. The key to this remarkable property is the set of images-matrices, which satisfy the anti-commutation relations (2.18):

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These matrices are the generating elements of a Clifford algebra which plays an important role in supersymmetric and supergravity theories. In the first part of this chapter we discuss the structure of this Clifford algebra for general ...

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