On the Classical String Solutions and String/Field Theory Duality

TL;DR

This paper classifies classical string configurations within the string/gauge theory duality framework and provides a method to derive conserved quantities and exact solutions in complex backgrounds.

Contribution

It introduces a systematic classification of classical string solutions and a procedure for obtaining conserved quantities in non-linear embedding scenarios.

Findings

Classification of almost all classical string configurations

Method for deriving conserved quantities in complex backgrounds

Exact classical solutions in general string theory backgrounds

Abstract

We classify almost all classical string configurations, considered in the framework of the semi-classical limit of the string/gauge theory duality. Then, we describe a procedure for obtaining the conserved quantities and the exact classical string solutions in general string theory backgrounds, when the string embedding coordinates depend non-linearly on the worldsheet time parameter.