Instantons and Non-renormalisation in AdS/CFT

Abstract

The series of perturbative fluctuations around a multi-instanton contribution to a specific class of correlation functions of supercurrents in $\mathcal{N}=4$ supersymmetric SU(N) Yang-Mills theory is examined in the light of the AdS/CFT correspondence. Subject to certain plausible assumptions, we argue that a given term in the 1/N expansion in such a background receives only a finite number of perturbative corrections in the 't Hooft limit. Such instanton non-renormalisation theorems would explain, for example, the exact agreement of certain weak coupling Yang-Mills instanton calculations with the strong coupling predictions arising from D-instanton effects in string theory amplitudes. These non-renormalisation theorems essentially follow from the assumption of a well defined derivative $({\alpha }^{\prime })$ expansion in the string theory dual of the Yang-Mills theory.

11 pages, harvmac, minor typo corrected

Cited by in corpus (12)

• Supersymmetric Gauge Theories and the AdS/CFT Correspondence
• The Operator Product Expansion of N=4 SYM and the 4-point Functions of Supergravity
• Yang-Mills- and D-instantons
• Non-Extremal D-instantons and the AdS/CFT Correspondence
• Instanton-induced Yang-Mills correlation functions at large N and their AdS_5xS^5 duals
• State-space Manifold and Rotating Black Holes
• Instanton test of non-supersymmetric deformations of the AdS_5 x S^5
• Dual expansions of N=4 super Yang-Mills theory via IIB superstring theory
• Instanton Calculations in the beta-deformed AdS/CFT Correspondence
• Aspects of Type 0 String Theory
• Absorption by Threebranes and the AdS/CFT Correspondence
• Beta-functions in Yang-Mills Theory from Non-critical String