Component versus superspace approaches to D = 4, N = 1 conformal supergravity

Taichiro Kugo, Ryo Yokokura, Koichi Yoshioka

Research output: Contribution to journalArticlepeer-review


The superspace formulation of N = 1 conformal supergravity in four dimensions is demonstrated to be equivalent to the conventional component field approach based on the superconformal tensor calculus. The detailed correspondence between the two approaches is explicitly given for various quantities: superconformal gauge fields, curvatures and curvature constraints, general conformal multiplets and their transformation laws, and so on. In particular, we carefully analyze the curvature constraints leading to the superconformal algebra and also the superconformal gauge fixing leading to Poincaré supergravity, since they look rather different between the two approaches.

Original languageEnglish
Article number73B07
JournalProgress of Theoretical and Experimental Physics
Issue number7
Publication statusPublished - 2016 Jul

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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