A Note on Interactions of (Non-Commutative) Instantons Via AdS/CFT

TL;DR

This paper explores instanton-anti-instanton interactions in N=4 super-Yang-Mills theory using AdS/CFT duality, providing estimates of interaction strength and insights into non-commutative theories' locality properties.

Contribution

It offers the first estimate of instanton interactions in large N super-Yang-Mills via AdS/CFT and examines non-commutative effects on these interactions.

Findings

Estimated interaction strength in various regimes.

Identified how non-commutativity affects instanton interactions.

Proposed a method to probe locality in non-commutative theories.

Abstract

We consider the interaction between instantons and anti-instantons in four-dimensional N=4 super-Yang-Mills theory at large N and large 't Hooft coupling as described by D-instantons via AdS/CFT duality. We give an estimate of the strength of the interaction in various regimes. We discuss also the case of Non-Commutative super Yang-Mills theory where the interaction between instantons and anti-instantons can be used as a way to probe the locality properties of the theory in the supergravity picture, without explicit reference to the definition of local operators.