Supersymmetric Gauge Theories and the AdS/CFT Correspondence

Details Supersymmetric Gauge Theories and the AdS/CFT Correspondence Supersymmetric Gauge Theories and the AdS/CFT Correspondence

2002-01-30

arxiv.org/abs/hep-th/0201253v2

Physics

High Energy Physics

High Energy Physics - Theory

Paragraph with (10.39) revised, refs. added, typos fixed; 145 pages; 14 figures; email to D.Z Freedman <dzf@math.mit.edu>

Scientific paper

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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