Gauge Theory of Supergravity Based Only on a Self-Dual Spin Connection

Details Gauge Theory of Supergravity Based Only on a Self-Dual Spin Connection Gauge Theory of Supergravity Based Only on a Self-Dual Spin Connection

May 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvl..76.3482n&link_type=abstract

Physical Review Letters, Volume 76, Issue 19, May 6, 1996, pp.3482-3485

Physics

19

Scientific paper

A gauge theory of supergravity is constructed based only on the supersymmetric self-dual spin connection associated to the supergroup OSp \(1 \| 4\). We show that Jacobson's supergravity action arises naturally from our proposed action. It is formulated by taking the self-dual part of the MacDowell-Mansouri gauge theory of supergravity. In this sense, our quadratic action in the supersymmetric self-dual curvature tensor provides a relation between these two important previous extensions of supergravity.

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