English

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

High Energy Physics - Theory 2009-11-07 v3

Abstract

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).

Keywords

Cite

@article{arxiv.hep-th/0106114,
  title  = {Wess-Zumino term for the AdS superstring and generalized Inonu-Wigner contraction},
  author = {Machiko Hatsuda and Makoto Sakaguchi},
  journal= {arXiv preprint arXiv:hep-th/0106114},
  year   = {2009}
}

Comments

15 pages, Latex, references added, version focused on a generalization of the IW contraction