TL;DR
This paper reviews the development of supergravity theories, focusing on the application of differential geometry methods by E. Cartan to construct supersymmetry transformations and actions for Goldstone fermions and supergravity.
Contribution
It highlights the historical and methodological impact of Cartan's differential geometry on the formulation of supergravity before and after 1976.
Findings
Application of Cartan's methods to supersymmetry
Construction of supergravity actions
Development of Goldstone fermion theories
Abstract
This paper is part of the lecture given at the TH Division of CERN and devoted to the CXXV anniversary of the birthday of Elie Cartan (1869-1951). It is shown how the methods of differential geometry, due to E. Cartan, were applied to the construction of the supersymmetry transformation law and to the actions for Goldstone fermions and supergravity.
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Taxonomy
TopicsRelativity and Gravitational Theory · Black Holes and Theoretical Physics · Algebraic and Geometric Analysis