We show how the linear special conformal transformation in four-dimensional
N = 4 super-Yang-Mills theory is metamorphosed into the nonlinear and fiel
d-dependent transformation for the collective coordinates of Dirichlet 3-br
anes, which agrees with the transformation law for the spacetime coordinate
s in the anti-de Sitter (AdS) space-time. Our result provides a new and str
ong support for the conjectured relation between AdS(5) x S-5 supergravity
and super-Yang-Mills theory (SYM). Furthermore, our work sheds elucidating
light on the nature of the AdS/SYM correspondence, [S0031-9007(98)07828-4].