AdS/CFT 对偶给出全息原理一种具体表述，同时它为强相互作用的研究提供了一种重要的方法。Alday与Maldacena 提出通过运用AdS/CFT 对偶，散射振幅在强相互作用下的计算可以等价于Wilson loop 算子的期望值，所以说散射振幅在研究AdS/CFT对偶中也发挥非常重要的作用。我们可以通过研究非局域算子以及散射振幅加深对AdS/CFT 对偶的理解。在本项目中，首先讨论非局域算子与局域算子的关联函数。我们研究既带电荷又带磁荷的Wilson-'t Hooft loop 算子的算符乘积展开，为了计算需要找出在AdS中弦或D膜的构型。然后计算Wilson surfaces 算子的关联函数。这部分完成后将讨论散射振幅的计算，主要讨论MHV散射振幅/Wilson loop对偶以及Grassmannian 积分。最后我们研究AdS/QCD。

Th AdS/CFT duality beautifully exemplified the idea of holography, it also provides a powerful method to study strongly coupled gauge theory. Alday and Maldacena argued using AdS/CFT that the prescripton for computing scattering amplitudes at strong coupling was mechanically identical to that for computing the expectaion value of a Wilson loop. So the scattering amplitude play important role in AdS/CFT. We can gain deeper understanding of AdS/CFT duality by studying nonlocal operators and scattering amplitude in the context of AdS/CFT Correspondence. This project is first to study correlation functions of nonlocal operators and local operators. We consider the operator product expansion for Wilson-'t Hooft loops which carry both the electric charge and magnetic charge. For this purpose, we need to construct a string or D-brane solution which is extended in the AdS. We also study the correlator for Wilson surfaces. After that we will investigate the scattering amplitude. We focus our attention to the MHV amplitude/Wilson loop duality and Grassmannian integral. Finally we will study AdS/QCD.