Aspects of Semiclassical Strings in AdS$_5$

TL;DR

This paper investigates the conserved currents in semiclassical string theory on AdS$_5$ and their implications for dual gauge theories, providing a general method for semiclassical analysis and applying it to specific solutions.

Contribution

It introduces a general procedure for exploring the semiclassical limit of string theory and identifies an infinite set of conserved currents in AdS$_5$ backgrounds.

Findings

Identified infinite conserved currents in the semiclassical limit.

Established a general method for semiclassical expansion.

Applied the method to specific AdS$_5$ solutions.

Abstract

We find an infinite number of conserved currents and charges in the semiclassical limit $\lambda \to \infty$ of string theory in AdS$_5 \times S^5$ and remark on their relevance to conserved charges in the dual gauge theory. We establish a general procedure of exploring the semiclassical limit by viewing the classical motion as collective motion in the relevant part of the configuration space. We illustrate the procedure for semiclassical expansion around solutions of string theory on AdS$_5 \times (S^5/Z_M)$.