Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory

TL;DR

This paper explores the connection between Yang-Mills instantons and D-instantons in type IIB superstring theory, providing explicit calculations and confirming the AdS/CFT correspondence through instanton effects.

Contribution

It explicitly relates Yang-Mills instantons to D-instantons in the AdS/CFT framework, including calculations of correlation functions and classical solutions.

Findings

Matching instanton contributions in Yang-Mills and superstring theory

Explicit form of D-instanton solutions in AdS5*S5

Confirmation of AdS/CFT correspondence via instanton effects

Abstract

The one-instanton contributions to various correlation functions of supercurrents in four-dimensional N=4 supersymmetric SU(2) Yang-Mills theory are evaluated to the lowest order in perturbation theory.Expressions of the same form are obtained from the leading effects of a single D-instanton extracted from the IIB superstring effective action around the AdS5*S5 background. This is in line with the suggested AdS/Yang-Mills correspondence. The relation between Yang--Mills instantons and D-instantons is further confirmed by the explicit form of the classical D-instanton solution in the AdS5*S5 background and its associated supermultiplet of zero modes. Speculations are made concerning instanton effects in the large-N_c limit of the SU(N_c) Yang-Mills theory.