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Wess-Zumino term for the AdS superstring and generalized Inonu-Wigner contraction
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We examine a Wess-Zumino term, written in bilinear of superinvariant currents, for a superstring in anti-de Sitter (AdS) space. The standard Inonu-Wigner contraction does not give the correct flat limit but gives zero. This originates from the fact that the fermionic metric of the super-Poincare group is degenerate. We propose a generalization of the Inonu-Wigner contraction which reduces the super-AdS group to the "nondegenerate" super-Poincare group, therefore it gives a correct flat limit of this Wess-Zumino term. We also discuss the M-algebra obtained by this generalized Inonu-Wigner contraction from osp(1|32).
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Non-Relativistic Chern-Simons Supergravity with Torsion
A parameterized family of non-relativistic supergravity theories with torsion is obtained in three dimensions from the semigroup expansion of an N=2 supersymmetric Mielke-Baekler algebra.
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