Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3

TL;DR

This paper reduces string dynamics on AdS_4 x CP^3 to the Neumann-Rosochatius integrable system, analyzing giant magnon and single spike solutions, their energy-charge relations, and finite-size effects.

Contribution

It introduces a reduction of string dynamics on AdS_4 x CP^3 to an integrable system and analyzes specific solutions with detailed energy-charge relations.

Findings

Derived simple parameter expressions for constraints.

Analyzed giant magnon and single spike solutions.

Explored finite-size effects of these solutions.

Abstract

We use the reduction of the string dynamics on AdS_4 x CP^3 to the Neumann-Rosochatius integrable system. All constraints can be expressed simply in terms of a few parameters. We analyze the giant magnon and single spike solutions on R_t x CP^3 with two angular momenta in detail and find the energy-charge relations. The finite-size effects of the giant magnon and single spike solutions are analyzed.