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Supergravity by Daniel Z. Freedman, Antoine Van Proeyen

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In this chapter we discuss the classical abelian and non-abelian gauge fields. Although our treatment is self-contained, it is best taken as a review for readers who have previously studied the role of the vector potential as the gauge field in Maxwell’s electromagnetism and also have some acquaintance with Yang–Mills theory.

We will again take a general dimensional viewpoint, but let’s begin the discussion in four dimensions with some remarks about the particle representations of the Poincaré group and the fields usually used to describe elementary particles. A particle is classified by its mass m and spin s, and a massive particle of spin ...

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