S-Duality and Noncommutative Gauge Theory

TL;DR

This paper explores the duality between strongly coupled noncommutative $ abla$=4 Yang-Mills theory and a weakly coupled open string theory in a near-critical electric field, providing evidence through string amplitude analysis.

Contribution

It offers evidence supporting the conjecture of a duality between noncommutative gauge theory and open string theory in a specific geometric setup.

Findings

Absence of closed string poles in non-planar one-loop open string diagrams.

Open string theory in noncommutative geometry is decoupled from closed strings.

Supports the duality conjecture with string amplitude evidence.

Abstract

It is conjectured that strongly coupled, spatially noncommutative $\mathcal{N}=4$ Yang-Mills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings. Evidence for this conjecture is given by the absence of physical closed string poles in the non-planar one-loop open string diagram. The open string theory can be viewed as living in a geometry in which space and time coordinates do not commute.