Classical AdS Superstring Mechanics

Details Classical AdS Superstring Mechanics Classical AdS Superstring Mechanics

2001-06-22

arxiv.org/abs/hep-th/0106202v1

Nucl.Phys. B611 (2001) 77-92

Physics

High Energy Physics

High Energy Physics - Theory

16 pageg, Latex

Scientific paper

10.1016/S0550-3213(01)00338-8

We analyze the anti-de Sitter (AdS) superparticle and superstring systems described in terms of supermatrix valued coordinates proposed by Roiban and Siegel. This approach gives simple symmetry transformations and equations of motion. We examine their kappa-transformations, infinite reducibility and kappa-gauge fixing conditions. A closed first class constraint set for the AdS superparticle is GL(4|4) covariant and keeping superconformal symmetry manifestly. For the AdS superstring $\sigma$-dependence breaks the GL(4|4) covariance, where supercovariant derivatives and currents satisfy the inhomogeneous GL(4|4). A closed first class constraint set for the AdS superstring turns out to be the same as the one for a superstring in flat space, namely ABCD constraints.

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