A pedagogical discussion of N = 1 four-dimensional supergravity in superspace
Robin Ducrocq, Michel Rausch de Traubenberg, Mauricio Valenzuela

TL;DR
This paper provides a pedagogical overview of N=1 four-dimensional supergravity in superspace, detailing the derivation of the Lagrangian from geometrical principles and superfield formalism.
Contribution
It offers a comprehensive, step-by-step explanation of constructing supergravity actions in superspace, based on geometrical foundations and educational lectures.
Findings
Derivation of the supergravity Lagrangian from geometrical principles
Explicit construction of matter and gauge couplings in superspace
Educational synthesis from lectures and a dedicated book
Abstract
A short introduction to N = 1 supergravity in four dimensions in the superspace approach is given emphasising on all steps to obtain the final Lagrangian. In particular starting from geometrical principles and the introduction of superfields in curved superspace, the action coupling matter and gauge fields to supergravity is derived. This review is based on the book -A supergravity Primer: From geometrical principles to the Final Lagrangian- and on several lectures given at the doctoral school of Strasbourg.
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