Open String--BMN Operator Correspondence in the Weak Coupling Regime

Abstract

We reproduce the correspondence between open string states ∣n〉 and BMN operators On in supersymmetric gauge theory using a worldsheet computation with the relation 〈B∣n〉 = On, 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 S5. We also discuss the 1/J correction to the correspondence.