Nonlocal Effects on D-branes in Plane-Wave Backgrounds

TL;DR

This paper explores how D3-branes in plane-wave backgrounds with fluxes lead to nonlocal deformations of Yang-Mills theory, revealing different behaviors under NSNS and RR fluxes and proposing a duality-based description.

Contribution

It introduces a nonlocal deformation framework for D-branes in plane-wave backgrounds and proposes a weakly coupled S-dual description for the strongly coupled case.

Findings

NSNS flux results in a lightlike dipole field theory.

RR flux leads to a strongly coupled dipole theory.

The S-dual description is local at finite order but nonlocal when summed over all perturbations.

Abstract

We argue that the effective field theory on D3-branes in a plane-wave background with 3-form flux is a nonlocal deformation of Yang-Mills theory. In the case of NSNS flux, it is a dipole field theory with lightlike dipole vectors. For an RR 3-form flux the dipole theory is strongly coupled. We propose a weakly coupled S-dual description for it. The S-dual description is local at any finite order in string perturbation theory but becomes nonlocal when all perturbation theory orders are summed together.