Large N field theories, string theory and gravity
Abstract
We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Antide Sitter spaces and conformal field theories. We review the background for this correspondence and discuss its motivations and the evidence for its correctness. We describe the main results that have been derived from the correspondence in the regime that the field theory is approximated by classical or semiclassical gravity. We focus on the case of the N=4 supersymmetric gauge theory in four dimensions, but we discuss also field theories in other dimensions, conformal and nonconformal, with or without supersymmetry, and in particular the relation to QCD. We also discuss some implications for black hole physics.
 Publication:

Physics Reports
 Pub Date:
 January 2000
 DOI:
 10.1016/S03701573(99)000836
 arXiv:
 arXiv:hepth/9905111
 Bibcode:
 2000PhR...323..183A
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology
 EPrint:
 261 pages, 42 postscript figures. Please send any comment to jmaldac@fas.harvard.edu. v2: added references and small corrections. v3: minor changes and corrected discussion of SU(3)invariant supergravity solution