SL(2,\({\mathbb{C}})\)-gauge theory, \(N=1\) supergravity and torsion
type: Item
instance of: scholarly article
title: SL(2,\({\mathbb{C}})\)-gauge theory, \(N=1\) supergravity and torsion
zbMATH Open document ID: 0599.53064
DOI: 10.1007/BF00763446
author: A. K. Bandyopadhyay
author: Paragmay Chatterjee
author: Pratul Bandyopadhyay
published in: General Relativity and Gravitation
publication date: 1986-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83E50
zbMATH DE Number: 3967384
zbMATH Keywords: gauge theory
zbMATH Keywords: gravitation
zbMATH Keywords: supergravity
zbMATH Keywords: conserved current
zbMATH Keywords: Einstein- Cartan action
zbMATH Keywords: internal helicity
MaRDI profile type: Publication
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cites work: SL(2,\({\mathbb{C}})\)-gauge theory and \(N=1\) supergravity
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description: scientific article; zbMATH DE number 3967384