osp(1|32) and Extensions of super-AdS_5 X S^5 algebra
arXiv:hep-th/0301083 · doi:10.1016/S0550-3213(03)00305-5
Abstract
The super-AdS_5 X S^5 and the four-dimensional N=4 superconformal algebras play important roles in superstring theories. It is often discussed the roles of the osp(1|32) algebra as a maximal extension of the superalgebras in flat background. In this paper we show that the su(2,2|4), the super-AdS_5 X S^5 algebra or the superconformal algebra, is not a restriction of the osp(1|32) though the bosonic part of the former is a subgroup of the latter. There exist only two types of u(1) extension of the super-AdS_5 X S^5 algebra if the bosonic AdS_5 X S^5 covariance is imposed. Possible significance of the results is also discussed briefly.
20 pages, LaTeX, references added
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- BPS preons and the AdS-M-algebra
- Noncommutative D-brane from Covariant AdS Superstring
- Superconducting Cosmic Strings and One Dimensional Extended Supersymmetric Algebras
- Localized Fermions on Superconducting Domain Walls and Extended Supersymmetry with non-trivial Topological Charges
- Fermions in a Reissner-Nordström-anti-de Sitter Black Hole Background and Supersymmetry with non-trivial Topological Charges
- Domain Walls, The Extended Superconformal Algebra, and The Supercurrent
- Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions