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arXiv 0712.0689hep-th
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AdS-CFT简介

Introduction to AdS-CFT

Horatiu Nastase

备注：
133 pages, 13 figures; typos corrected, references added
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摘要：

这些讲座介绍了AdS-CFT，并为初学者和更先进的研究生，这是熟悉量子场论，并有他们的基本方法的工作知识。熟悉超对称性、广义相对论和弦论是有帮助的，但不是必要的，因为本课程希望尽可能独立。我将介绍场和规范理论、广义相对论、超对称性、超引力、弦和共形场论的必要元素。然后，我描述了基本的AdS-CFT方案，${\cal N}=4 $超级杨米尔斯的关系，弦论在$AdS_5\times S_5$，和应用程序，可以从它派生：3点函数，夸克-反夸克势，有限的温度和散射过程，pp波对应和自旋链。本文还描述了规范理论引力场的一些一般性质。

英文摘要：

These lectures present an introduction to AdS-CFT, and are intended both for begining and more advanced graduate students, which are familiar with quantum field theory and have a working knowledge of their basic methods. Familiarity with supersymmetry, general relativity and string theory is helpful, but not necessary, as the course intends to be as self-contained as possible. I will introduce the needed elements of field and gauge theory, general relativity, supersymmetry, supergravity, strings and conformal field theory. Then I describe the basic AdS-CFT scenario, of ${\cal N}=4 $ Super Yang-Mills's relation to string theory in $AdS_5\times S_5$, and applications that can be derived from it: 3-point functions, quark-antiquark potential, finite temperature and scattering processes, the pp wave correspondence and spin chains. I also describe some general properties of gravity duals of gauge theories.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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