We find the space-time supersymmetric and kappa -invariant action for
a D3-brane propagating in the AdS(5) x S-5 background. As in the previ
ous construction of the fundamental string action in this maximally su
persymmetric string vacuum the starting point is the corresponding sup
eralgebra su(2,2\4). We comment on the super Yang-Mills interpretation
of the gauge-fixed form of the action. (C) 1998 Elsevier Science B.V.
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