Titlebook: Supergravity; From First Principle Gianguido Dall‘Agata,Marco Zagermann Book 2021 Springer-Verlag GmbH Germany, part of Springer Nature 202

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Supergravity978-3-662-63980-1Series ISSN 0075-8450 Series E-ISSN 1616-6361

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IntroductionThe quest for a fundamental theory of all elementary particles and their interactions has been one of the most fascinating scientific endeavors during the past century. One of the main guiding principles in the construction of the ever more refined theories of high energy physics has been the systematic use of symmetry principles.

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Matter Couplings in Global SupersymmetryIn the previous chapter, we discussed . pure supergravity, which only involves the . supergravity multiplet. In order to include also ordinary matter fields and Yang–Mills-type gauge interactions, one has to couple the pure supergravity sector to . chiral and vector multiplets in a way consistent with local supersymmetry.

教義

Matter Couplings in SupergravityIn this chapter, we study the coupling of 4D, . chiral and vector multiplets to supergravity, using the geometric language developed in the previous chapter. Our main emphasis will be on the difference between the matter couplings in global and local supersymmetry.

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Supergravity in Arbitrary DimensionsWhile in the first nine chapters of this book, we focused on four-dimensional theories, we use this final chapter to give a brief outlook on supergravity theories in a number of dimensions other than four. Many details of their structure differ from the four-dimensional case, but the main terms and relations remain valid.

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From Global to Local Supersymmetryimple iterative procedure (the “Noether method”) directly exhibits the need for the gravitino field and its superpartner, the graviton, and suggests the supersymmetry transformation laws of these fields.