On gauge-fixed superbrane actions in AdS superbackgrounds

To construct actions for describing superbranes propagating in AdS×S superbackgrounds we propose a coset space realization of these superbackgrounds which results in a short polynomial fermionic dependence (up to a six power in Grassmann coordinates) of target superspace supervielbeins and superconnections. Gauge fixing κ–symmetry in a way compatible with a static brane solution further reduces the fermionic dependence down to the fourth power. Subtleties of consistent gauge fixing worldvolume diffeomorphisms and κ–symmetry of the superbrane actions are discussed. 1 Alexander von Humboldt fellow. On leave from Kharkov Institute of Physics and Technology, Kharkov, 310108, Ukraine.