The AdS/CFT correspondence
Abstract
We give a brief review of the AdS/CFT correspondence, which posits the equivalence between a certain gravitational theory and a lowerdimensional nongravitational one. This remarkable duality, formulated in 1997, has sparked a vigorous research program that has gained in breadth over the years, with applications to many aspects of theoretical (and even experimental) physics, not least to general relativity and quantum gravity. To put the AdS/CFT correspondence into historical context, we start by reviewing the relevant aspects of string theory (of which no prior knowledge is assumed). We then develop the statement of the correspondence, and explain how the two sides of the duality map into each other. Finally, we discuss the implications and applications of the correspondence, and indicate some of the current trends in this subject. The presentation attempts to convey the main concepts in a simple and selfcontained manner, relegating supplementary remarks to footnotes.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 June 2015
 DOI:
 10.1088/02649381/32/12/124010
 arXiv:
 arXiv:1501.00007
 Bibcode:
 2015CQGra..32l4010H
 Keywords:

 AdS/CFT;
 duality;
 holography;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 51 pages, 1 figure. Written for a broad GR audience