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Supersymmetric Gauge Theories and the AdS/CFT Correspondence

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arxiv hep-th/0201253 v2 pith:JKHAL4RW submitted 2002-01-30 hep-th

Eric D'Hoker , Daniel Z. Freedman This is my paper
classification hep-th
keywords theoryconformalcorrespondencegaugesupersymmetrictheoriesanomalyanti-de
verification ladder T0 review T1 audit T2 compute T3 formal
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In these lecture notes we first assemble the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory. Brane solutions are surveyed. The geometry and symmetries of anti-de Sitter space are discussed. The AdS/CFT correspondence of Maldacena and its application to correlation functions in the the conformal phase of N=4 SYM are explained in considerable detail. A pedagogical treatment of holographic RG flows is given including a review of the conformal anomaly in four-dimensional quantum field theory and its calculation from five-dimensional gravity. Problem sets and exercises await the reader.

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Cited by 11 Pith papers

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