osp(1|32) and Extensions of super-AdS_5 X S^5 algebra

Details osp(1|32) and Extensions of super-AdS_5 X S^5 algebra osp(1|32) and Extensions of super-AdS_5 X S^5 algebra

2003-01-14

arxiv.org/abs/hep-th/0301083v2

Nucl.Phys. B662 (2003) 491-510

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX, references added

Scientific paper

10.1016/S0550-3213(03)00305-5

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.

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