SL(2, C)-gauge theory and N = 1 supergravity

Details SL(2, C)-gauge theory and N = 1 supergravity SL(2, C)-gauge theory and N = 1 supergravity

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18.1127c&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 18, Nov. 1986, p. 1127-1140.

Physics

2

Gauge Theory, Supergravity, Conservation Laws, Field Theory (Physics), Space-Time Functions, Spinor Groups

Scientific paper

It is shown that as Riemannian space may be taken to give rise to a Poincare gauge theory of gravitation, the superspace where the coordinates are given by (X, Theta), Theta being a spinorial variable gives rise to an SL(2, C)-gauge theory and corresponds to N = 1 supergravity. It leads to a conserved current and the conserved quantity here corresponds to isospin, where the latter is taken to be generated from conformal reflection. Thus, supergravity plays a predominant role in the microlocal space-time.

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