Non-local charges on AdS_5 x S^5 and PP-waves

TL;DR

This paper demonstrates the existence of an infinite set of non-local conserved charges in a pp-wave superstring background, linking them to charges in the AdS_5 x S^5 space, which may deepen understanding of string symmetries.

Contribution

It establishes a connection between non-local charges in pp-wave backgrounds and the AdS_5 x S^5 space, providing new insights into string symmetries in these geometries.

Findings

Infinite non-local conserved charges in pp-wave background

Charges match the Penrose limit of AdS_5 x S^5 charges

Potential implications for understanding string symmetries

Abstract

We show the existence of an infinite set of non-local classically conserved charges on the Green-Schwarz closed superstring in a pp-wave background. We find that these charges agree with the Penrose limit of non-local classically conserved charges recently found for the $AdS_5 \times S^5$ Green-Schwarz superstring. The charges constructed in this paper could help to understand the role played by these on the full $AdS_5 \times S^5$ background.