Integrable systems from membranes on AdS_4 x S^7

TL;DR

This paper demonstrates how certain integrable systems, including Neumann and Neumann-Rosochatius models, can be derived from membranes in the AdS_4 x S^7 background within the AdS/CFT framework, linking string theory and integrable models.

Contribution

It introduces a novel connection between membrane dynamics in AdS_4 x S^7 and well-known integrable systems, expanding the understanding of integrability in M-theory contexts.

Findings

Derivation of Neumann and Neumann-Rosochatius systems from membranes.

Connection established between membrane dynamics and integrable spin chains.

Insights into the integrable structures in AdS_4 x S^7 background.

Abstract

We describe how Neumann and Neumann-Rosochatius type integrable systems, as well as the continuous limit of the SU(2) integrable spin chain, can be obtained from membranes on AdS_4 x S^7 background, in the framework of AdS/CFT correspondence.