Foundations of the AdS5 x S5 Superstring. Part I
Abstract
We review the recent advances towards finding the spectrum of the AdS5 x S5 superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem. In certain cases our exposition is original and cannot be found in the existing literature. The present Part I deals with foundations of classical string theory in AdS5 x S5, light-cone perturbative quantization and derivation of the exact light-cone world-sheet scattering matrix.
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