Plane wave limit of local conserved charges

TL;DR

This paper investigates the plane wave limit of classical string conserved charges in AdS space, revealing their relation to free massive field integrals and fixing coefficients in anomalous dimension expansions.

Contribution

It provides an explicit expression for local conserved charges in the plane wave limit and connects Pohlmeyer charges to free massive field integrals.

Findings

Pohlmeyer charges become local integrals of motion in the plane wave limit.

Explicit expression for conserved charges in the plane wave limit.

Coefficients in anomalous dimension expansion are fixed by this analysis.

Abstract

We study the plane wave limit of the Backlund transformations for the classical string in AdS space times a sphere and obtain an explicit expression for the local conserved charges. We show that the Pohlmeyer charges become in the plane wave limit the local integrals of motion of the free massive field. This fixes the coefficients in the expansion of the anomalous dimension as the sum of the Pohlmeyer charges.