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We review some recent progress in understanding the spectrum ofenergies/dimensions of strings/operators in AdS5 x S5 -- planar N=4 superYang-Mills correspondence. We consider leading strong coupling corrections tothe energy of lightest massive string modes in AdS5 x S5, which should be dualto members of the Konishi operator multiplet in the SYM theory. This determinesthe general structure of strong-coupling expansion of the anomalous dimensionof the Konishi operator. Following arXiv:0906.4294 we use 1-loop results forsemiclassical string states to extract information about the leadingcoefficients in this expansion.

Quantum strings in AdS5 x S5 and AdS/CFT duality