Extended Superconformal Algebras on AdS_{3}
High Energy Physics - Theory
2009-10-31 v2
Abstract
We study a supersymmetric extension of the Virasoro algebra on the boundary of the anti-de Sitter space-time AdS_{3}. Using the free field realization of the currents, we show that the world-sheet affine Lie superalgebras osp(1|2)^{(1)}, sl(1|2)^{(1)} and sl(2|2)^{(1)} provide the boundary N=1,2 and 4 extended superconformal algebras, respectively.
Cite
@article{arxiv.hep-th/9811002,
title = {Extended Superconformal Algebras on AdS_{3}},
author = {Katsushi Ito},
journal= {arXiv preprint arXiv:hep-th/9811002},
year = {2009}
}
Comments
11 pages, latex; a reference added