Jia, Yanhua; Mei, Fengxiang; Qi, Guoying Self-dual structure of conformal supergravity. (English) Zbl 0954.83019 J. Beijing Inst. Technol., Engl. Ed. 9, No. 1, 20-24 (2000). Summary: On the basis of a unified definition of the dual operation and the (anti-)self-dual operation, the connections of the \(\text{su} (2,2|1)\) main cluster was used as the fundamental field variables to construct the self-dual Lagrangian of conformal supergravity. A Yang-Mills-like Lagrangian is obtained and a new gauge theory of supergravity is put forward. The spatial projects of its spin connection are Ashtekar variables. MSC: 83E50 Supergravity 53C07 Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) 81T13 Yang-Mills and other gauge theories in quantum field theory Keywords:connection; dual; self-dual; \(\text{SU}(2,2|1)\) group; Yang-Mill-like Lagrangian PDFBibTeX XMLCite \textit{Y. Jia} et al., J. Beijing Inst. Technol., Engl. Ed. 9, No. 1, 20--24 (2000; Zbl 0954.83019)