Abstract
By making an appropriate choice for gauge fixing kappa-symmetry we obtain a relatively simple form of the actions for a D = 11 superparticle in AdS4 × S7/Zk, and for a D0-brane, fundamental string and D2-branes in the AdS4 × CP3 superbackground. They can be used to study various problems of string theory and the AdS4/CFT3 correspondence, especially in regions of the theory which are not reachable by the OSp(6|4)/U(3) × SO(1,3) supercoset sigma-model. In particular, we present a simple form of the gauge-fixed superstring action in AdS4 × CP3 and briefly discuss issues of its T-dualization.
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