Open string - BMN operator correspondence in the weak coupling regime

TL;DR

This paper establishes a correspondence between open string states and BMN operators in N=2 supersymmetric gauge theory at weak coupling, using worldsheet computations and boundary states, extending the understanding of gauge-string duality.

Contribution

It demonstrates the open string-BMN operator correspondence in a weak coupling, flat spacetime setting, including the analysis of 1/J corrections, differing from the usual AdS/CFT framework.

Findings

Reproduces the open string-BMN operator correspondence using worldsheet methods.

Identifies string states as circular waves around D3-branes in flat spacetime.

Discusses the 1/J correction to the correspondence.

Abstract

We reproduce the correspondence between open string states |n> and BMN operators O_n in N=2 supersymmetric gauge theory using a worldsheet computation with the relation <B|n>=O_n, where <B| is a boundary state of D3-branes. We regard the NS ground states and their excitations with respect to a bosonic oscillator as the states |n> and obtain a chiral operator and BMN operators, respectively, in correspondence to them. Because we take the coupling constant to be weak and the background spacetime to be flat Minkowski, not AdS, the string states |n> are circular waves around the D3-branes, instead of KK modes on S^5. We also discuss the 1/J correction to the correspondence.