N=4 supersymmetric Yang-Mills theory and the AdS/SCFT correspondence
N=4 supersymmetric Yang-Mills theory and the AdS/SCFT correspondence
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N=4 超对称 Yang-Mills 理论和 AdS/SCFT 对应关系
DOI：
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
S. Kovacs
中科院分区：
文献类型：
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作者：
S. Kovacs
本文回顾了N=4超对称杨-米尔斯理论的各个方面，特别是与AdS/CFT对应的关系。前两章是介绍性的。第一部分包括在经典和量子水平上对四维刚性超对称理论的一般性质的描述。第二章是对N=4 SYM理论的主要性质的回顾。原始结果报告于第3、4和5章。第三章对该理论的微扰性质作了系统的重新分析。用分量公式和/或超场法计算了二点、三点和四点格林函数，并指出了与量规固定有关的细微之处。第四章在介绍了超对称规范理论中的瞬子演算之后，给出了半经典近似下规范不变复合算子对格林函数的单瞬子贡献的计算。详细介绍了超流多路算子的四点、八点和十点格林函数的计算。最后一章专门讨论AdS/SCFT对应关系。讨论了一些一般的方面。然后重点讨论了N=4 SYM中的瞬子与IIB型弦理论中的d -瞬子效应之间的关系。比较了边界场理论中复合算符Green函数的瞬子贡献和IIB型弦理论中计算振幅的d -瞬子生成项，表明了这两种非微扰效应来源之间的一致性。
This dissertation reviews various aspects of the N=4 supersymmetric Yang--Mills theory in particular in relation with the AdS/CFT correspondence. The first two chapters are introductory. The first one contains a description of the general properties of rigid supersymmetric theories in four dimensions both at the classical and at the quantum level. The second chapter is a review of the main properties of the N=4 SYM theory under consideration. Original results are reported in chapters 3, 4 and 5. A systematic re-analysis of the perturbative properties of the theory is presented in the third chapter. Two-, three- and four-point Green functions of elementary fields are computed using the component formulation and/or the superfield approach and subtleties related to the gauge-fixing are pointed out. In the fourth chapter, after an introduction to instanton calculus in supersymmetric gauge theories, the computation of the one-instanton contributions to Green functions of gauge invariant composite operators in the semiclassical approximation is reported. The calculations of four-, eight- and sixteen-point Green functions of operators in the supercurrent multiplet are reviewed in detail. The final chapter is devoted to the AdS/SCFT correspondence. Some general aspects are discussed. Then the attention is focused on the relation between instantons in N=4 SYM and D-instanton effects in type IIB string theory. The comparison between instanton contributions to Green functions of composite operators in the boundary field theory and D-instanton generated terms in the amplitudes computed in type IIB string theory is performed and agreement between these two sources of non-perturbative effects is shown.
DOI：
10.1515/9781400859306
发表时间：
1988
期刊：
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影响因子：
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作者：
M. Atiyah;N. Hitchin
通讯作者：
M. Atiyah;N. Hitchin