SL(2,\({\mathbb{C}})\)-gauge theory, \(N=1\) supergravity and torsion
It is shown that the SL(2,\({\mathbb{C}})\)-gauge theory of gravitation may be considered to correspond to \(N=1\) supergravity and the conserved current gives rise to the Einstein-Cartan action. The torsion term here appears due to the spinorial variable \(\theta\), which is associated with the ''internal helicity'' giving rise to the isospin algebra from the conformal reflection group. In this sense, the internal symmetry of hadrons is found to take a dominant role in gravitational phenomena in the microlocal space-time region where the Einstein-Cartan action becomes significant.
scientific article; zbMATH DE number 3967384
scientific article