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Supergravity by Daniel Z. Freedman, Antoine Van Proeyen

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In earlier chapters we have reviewed the ideas and implementation of Lorentz invariance, relativistic spin, gauge principles, global supersymmetry, and spacetime geometry. We will now begin to study how these elements combine in supergravity. The key idea is that supersymmetry holds locally in a supergravity theory. The action is invariant under SUSY transformations in which the spinor parameters images(x) are arbitrary functions of the spacetime coordinates. The SUSY algebra (see (6.1) and (6.33)) will then involve local translation parameters which ...

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