Plane wave limit of local conserved charges

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.

arXiv commentv2: added explanations

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Cited by in corpus (9)

• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Stringy sums and corrections to the quantum string Bethe ansatz
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• An action variable of the sine-Gordon model
• Notes on fast moving strings
• Anomalous dimension and local charges
• Kinky Strings in AdS_5 x S^5
• String Solutions in General Backgrounds