(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.

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

References in corpus (1)

• Properties of the Konishi multiplet in N=4 SYM theory

Cited by in corpus (15)

• Supersymmetric Gauge Theories and the AdS/CFT Correspondence
• Emergence in Holographic Scenarios for Gravity
• OPEs and 3-point correlators of protected operators in N=4 SYM
• On Operator Mixing in N=4 SYM
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• A note on composite operators in N=4 SYM
• Four-point functions in N=4 SYM
• Instanton corrections to circular Wilson loops in N=4 Supersymmetric Yang-Mills
• Universal properties of superconformal OPEs for 1/2 BPS operators in $3\le D\le 6$
• Duality between Wilson loops and gluon amplitudes
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• "Massive" Higher Spin Multiplets and Holography
• Higher Spins and Stringy AdS5xS5
• Higher spin symmetry (breaking) in N=4 SYM theory and holography
• Holographic three-point functions: one step beyond the tradition