Classical AdS superstring mechanics Original Research Article

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 κ-transformations, infinite reducibility and κ-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 σ-dependence breaks the GL(4|4) covariance, where supercovariant derivatives and currents satisfy an 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.