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arxiv: hep-th/0106114 · v3 · submitted 2001-06-14 · ✦ hep-th

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Wess-Zumino term for the AdS superstring and generalized Inonu-Wigner contraction

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classification ✦ hep-th
keywords contractioninonu-wignergrouptermwess-zuminocorrectflatgeneralized
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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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