On the Classical String Solutions and String/Field Theory Duality II

TL;DR

This paper develops a method to find exact classical string solutions in complex backgrounds within the string/gauge duality framework, including tensionless limits, and discovers new solutions with multiple spins and conserved charges.

Contribution

It introduces a general procedure for obtaining exact classical string solutions with non-linear embedding coordinates, extending previous results and discovering new multi-spin solutions.

Findings

Reproduced known classical string solutions.

Found new solutions with two spins in AdS_5 black hole background.

Discovered solutions with multiple conserved R-charges in AdS_5 x S^5.

Abstract

Based on the recently considered classical string configurations, in the framework of the semi-classical limit of the string/gauge theory correspondence, we describe a procedure for obtaining exact classical string solutions in general string theory backgrounds, when the string embedding coordinates depend non-linearly on the worldsheet spatial parameter. The tensionless limit, corresponding to small t'Hooft coupling on the field theory side, is also considered. Applying the developed approach, we first reproduce some known results. Then, we find new string solutions - with two spins in AdS_5 black hole background and in AdS_5 x S^5 with two spins and up to nine independent conserved R-charges.