An alternative formulation of light-cone string field theory on the plane wave

TL;DR

This paper develops a new SO(4) x SO(4) invariant, supersymmetric version of the light-cone string field theory on plane wave backgrounds, showing its equivalence to previous formulations and matching gauge theory predictions.

Contribution

It introduces a manifestly invariant supersymmetric extension of the string interaction vertex and demonstrates its physical equivalence to the SO(8) formalism.

Findings

Effective vertex matches previous SO(8) formalism

Conjecture of physical equivalence between formulations

Correct reproduction of gauge theory anomalous dimensions

Abstract

We construct a manifestly SO(4) x SO(4) invariant, supersymmetric extension of the closed string cubic interaction vertex and dynamical supercharges in light-cone string field theory on the plane wave space-time. We find that the effective vertex for states built out of bosonic creation oscillators coincides with the one previously constructed in the SO(8) formalism and conjecture that in general the two formulations are physically equivalent. Further evidence for this claim is obtained from the discrete Z_2-symmetry of the plane wave and by computing the mass-shift of the simplest stringy state using perturbation theory. We verify that the leading non-planar correction to the anomalous dimension of the dual gauge theory operators is correctly recovered.