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 the derivation of the exact light-cone world-sheet scattering matrix.
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机译：我们回顾了寻找AdS5 x S5超弦谱的最新进展。我们彻底解释了对最终解决光谱问题有用的理论技术。在某些情况下，我们的论述是原始的，在现有文献中找不到。本部分第一部分讨论了AdS5 x S5中经典弦论的基础，光锥扰动量化以及精确的光锥世界表散射矩阵的推导。
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