Strings in AdS_5 x S^5
We describe the construction of covariant superstring action in AdS_5 x S^5
of IIB string theory. The starting point is the corresponding SU(2,2|4)
It is shown that the resulting action defines a 2d conformal field theory.
We also present a similar construction of the supersymmetric D3-brane action
in AdS_5 x S^5 background and comment on its relation to quantum SYM
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