(Non-)perturbative tests of the AdS/CFT correspondence
Abstract
I summarize perturbative and non-perturbative field theory tests of the holographic correspondence between type IIB superstring on AdS_5xS^5 and N=4 SYM theory. The holographic duality between D-instantons and YM instantons is briefly described. Non renormalization of two- and three-point functions of CPO's and their extremal and next-to-extremal correlators are then reviewed. Finally, partial non-renormalization of four-point functions of lowest CPO's is analyzed in view of the interpretation of short distance logarithmic behaviours in terms of anomalous dimensions of unprotected operators.
Keywords
Cite
@article{arxiv.hep-th/0103112,
title = {(Non-)perturbative tests of the AdS/CFT correspondence},
author = {Massimo Bianchi},
journal= {arXiv preprint arXiv:hep-th/0103112},
year = {2009}
}
Comments
9 pages, Latex, style file espcrc2.sty. Typos corrected, references added. Talk given at the D.V. Volkov Memorial Conference ``Supersymmetry and Quantum Field Theory'', 25-30 July 2000, Kharkov, to be published in Nuclear Physics B Conference Supplements. Summary of the lectures delivered at the school ``Latest developments in M-Theory'', Institut Henri Poincare', Paris, 1-8 February 2001