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SL(2,C)-gauge theory,N=1 supergravity and torsion
Authors:Asok Kumar Bandyopadhyay  Paragmay Chatterjee  Pratul Bandyopadhyay
Affiliation:(1) Indian Statistical Institute, 700035 Calcutta, India
Abstract:It is shown that the SL(2,C)-gauge theory of gravitation may be considered to correspond toN = 1 supergravity and the conserved current gives rise to the Einstein-Cartan action. The torsion term here appears due to the spinorial variabletheta, which is associated with the ldquointernal helicityrdquo 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.
Keywords:
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