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Prog. Theor. Phys. Vol. 82 No. 3 (1989) pp. 616-630
A Supersymmertic Lagrangian for Poincaré Gauge Theories of Gravity
Carlos Castro
Center for Particle Theory, University of Texas at Austin, Austin, Texas 78712
(Received October 19, 1988)
Abstract:
A supersymmetric construction of the Kuhfuss-Nitsch Lagrangian is presented. Such Lagrangian
is the most general one for Poincaré gauge theories of gravity which is devoid of ghosts and
tachyons. We rely on the observation that the local tensor calculus for supergravity with independent
and propagating spin connection developed by Nishino is equivalent to the old superconformal
tensor calculus in the Kuhfuss-Nitsch regime where only the standard graviton propagates. In such
special case the supercovariant torsion tensor can be gauged to zero and the spin connection can be
algebraically expressed in terms of the graviton and the gravitino exactly as in the old conventional
supergravity theory.
URL :
http://ptp.ipap.jp/link?PTP/82/616/
DOI : 10.1143/PTP.82.616
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