Super-PP-wave Algebra from Super-AdS x S Algebras in Eleven-dimensions
High Energy Physics - Theory
2009-11-07 v1
Abstract
Maximally supersymmetric spacetime algebras in eleven-dimensions, which are the isometry superalgebras of Minkowski space, AdS_7 x S^4, AdS_4 x S^7 and pp-wave background, are related by Inonu-Wigner contractions. The super-AdS_{4(7)} x S^{7(4)} algebras allow to introduce two contraction parameters, the one for the flat limit to the super-Poincare algebra and the other for a Penrose limit to the super-pp-wave algebra. Under these contractions supersymmetries are maintained because the Jacobi identity of three supercharges holds for any values of contraction parameters.
Keywords
Cite
@article{arxiv.hep-th/0204002,
title = {Super-PP-wave Algebra from Super-AdS x S Algebras in Eleven-dimensions},
author = {Machiko Hatsuda and Kiyoshi Kamimura and Makoto Sakaguchi},
journal= {arXiv preprint arXiv:hep-th/0204002},
year = {2009}
}
Comments
9 pages, LaTex2e file