D-Instanton in AdS_5 and Instanton in SYM_4

TL;DR

This paper explores the detailed correspondence between D-instantons in AdS_5 supergravity and instantons in 4D supersymmetric Yang-Mills theory, confirming their matching actions and supersymmetries and proposing a broader class of solutions correspondence.

Contribution

It provides a detailed analysis of the D-instanton and Yang-Mills instanton correspondence, including explicit solutions and a generalization to supergravity solutions satisfying a specific ansatz.

Findings

Matching actions and supersymmetries between D-instantons and Yang-Mills instantons

Derivation of identities for correlation functions in SYM_4

Proposal that supergravity solutions satisfying the ansatz correspond to (anti-)self-dual Yang-Mills configurations

Abstract

Following the observation of Banks and Green that the D-instantons in AdS_5 correspond to the instantons in 4-dimensional supersymmetric Yang-Mills theory, we study in more detail this correspondence for individual instantons. The supergravity solution for a D-instanton in AdS_5 is found using the ansatz used previously for D-instantons in flat space. We check that the actions and supersymmetries match between the D-instanton solution and the Yang-Mills instanton. Generalizing this result, we propose that any supergravity solution satisfying the ansatz corresponds to a (anti-)self-dual Yang-Mills configuration. Using this ansatz a family of identities for correlation functions in the supersymmetric Yang-Mills theory are derived.