Supersymmetric D3 brane action in AdS5×S5

We find the space-time supersymmetric and κ-invariant action for a D3-brane propagating in the AdS5×S5 background. As in the previous construction of the fundamental string action in this maximally supersymmetric string vacuum the starting point is the corresponding superalgebra su(2,2|4). We comment on the super Yang-Mills interpretation of the gauge-fixed form of the action.