Strings in AdS_5 x S^5
Arkady Tseytlin
We describe the construction of covariant superstring action in AdS_5 x S^5 vacuum of IIB string theory. The starting point is the corresponding SU(2,2|4) superalgebra. 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 effective action.

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